Pith Number

pith:UEG4B2VZ

pith:2025:UEG4B2VZHNTNXPMDNJOC2YHOBA

not attested not anchored not stored refs pending

On the Cycle Structure of the Metacommutation Map

Ant\'onio Leite, Ant\'onio Machiavelo

arxiv:2504.08709 v1 · 2025-04-11 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEG4B2VZHNTNXPMDNJOC2YHOBA}

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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.

Cited by

1 paper in Pith

Conjugation invariants determine the metacommutation permutation only up to relabelling

Receipt and verification

First computed	2026-07-05T10:47:53.000044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a10dc0eab93b66dbbd836a5c2d60ee0809b767fcf9e72532ce8d839ff0185de0

Aliases

arxiv: 2504.08709 · arxiv_version: 2504.08709v1 · doi: 10.48550/arxiv.2504.08709 · pith_short_12: UEG4B2VZHNTN · pith_short_16: UEG4B2VZHNTNXPMD · pith_short_8: UEG4B2VZ

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/UEG4B2VZHNTNXPMDNJOC2YHOBA \
  | 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: a10dc0eab93b66dbbd836a5c2d60ee0809b767fcf9e72532ce8d839ff0185de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f6cb943308553c205c97f7985caa13e228157e50b8e1f8654e34e0a97a8bc53",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-11T17:20:19Z",
    "title_canon_sha256": "1f3cb2ec87482471d1bffce32215006ee8ec4286e9e0a1e470ce6081a6fd7b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.08709",
    "kind": "arxiv",
    "version": 1
  }
}