Pith Number

pith:VGULABAO

pith:2025:VGULABAOFID4M7BHADB3FCAAN2

not attested not anchored not stored refs pending

Knot invariants from representations of braids by automorphisms of a free group

Vladimir Shpilrain

arxiv:2505.22403 v3 · 2025-05-28 · math.GT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGULABAOFID4M7BHADB3FCAAN2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-07-05T11:21:47.357829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a8b0040e2a07c67c2700c3b288006ebffaf4ecc30c6d84885ce1336854461d

Aliases

arxiv: 2505.22403 · arxiv_version: 2505.22403v3 · doi: 10.48550/arxiv.2505.22403 · pith_short_12: VGULABAOFID4 · pith_short_16: VGULABAOFID4M7BH · pith_short_8: VGULABAO

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/VGULABAOFID4M7BHADB3FCAAN2 \
  | 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: a9a8b0040e2a07c67c2700c3b288006ebffaf4ecc30c6d84885ce1336854461d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577cb0a2c260bff619a06f37f005008fbb4b399aacd642552b5843fb90c81cc6",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-05-28T14:29:28Z",
    "title_canon_sha256": "f23b1aa88b740e166cd82367b9088894b729d051d4d149fbbe9d88805ec8c870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22403",
    "kind": "arxiv",
    "version": 3
  }
}