Pith Number

pith:J7BPKSNA

pith:2026:J7BPKSNAJ7K7RC6JYVNM7EOPAV

not attested not anchored not stored refs pending

Reidemeister and movie moves for involutive links

Abhishek Mallick, Irving Dai, Maciej Borodzik, Matthew Stoffregen

A set of 39 equivariant movie moves connects any two movie presentations of equivariantly isotopic cobordisms between involutive links.

arxiv:2604.26369 v2 · 2026-04-29 · math.GT

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\usepackage{pith}
\pithnumber{J7BPKSNAJ7K7RC6JYVNM7EOPAV}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

This gives a set of 39 equivariant movie moves that suffice to go between any two movie presentations of a pair of equivariantly isotopic cobordisms.

C2weakest assumption

The classification of all codimension-2 singularities of equivariant maps from S^1 to R^2 is complete and that embedded equivariant Morse theory applies without extra obstructions not captured by the listed moves.

C3one line summary

39 equivariant movie moves generate all transitions between movie presentations of equivariantly isotopic cobordisms between involutive links, with a singularity-theoretic proof of the equivariant Reidemeister theorem.

Receipt and verification

First computed	2026-05-22T01:04:03.436538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc2f549a04fd5f88bc9c55acf91cf055e3599e86eb133b420f2a42eda665797

Aliases

arxiv: 2604.26369 · arxiv_version: 2604.26369v2 · doi: 10.48550/arxiv.2604.26369 · pith_short_12: J7BPKSNAJ7K7 · pith_short_16: J7BPKSNAJ7K7RC6J · pith_short_8: J7BPKSNA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/J7BPKSNAJ7K7RC6JYVNM7EOPAV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4fc2f549a04fd5f88bc9c55acf91cf055e3599e86eb133b420f2a42eda665797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a6799796f9c7ce4c58eec17c9a0c499aa56b523b2d8c2be9994449459f57f7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-04-29T07:30:08Z",
    "title_canon_sha256": "0afa5a38ca8cd3cf60950a4b6ae13a052fa109e6b7457ab7612ec3c3c8c8f7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.26369",
    "kind": "arxiv",
    "version": 2
  }
}