Pith Number

pith:777I5K5O

pith:2012:777I5K5OZJWGHGZXKPSPN65ZZH

not attested not anchored not stored refs pending

Deformation of a 3 -> 3 Pachner move relation capturing exotic second homologies

Igor Korepanov

arxiv:1201.4762 v1 · 2012-01-23 · math-ph · math.AT · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{777I5K5OZJWGHGZXKPSPN65ZZH}

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	2026-05-18T04:04:05.252548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fffe8eabaeca6c639b3753e4f6fbb9c9da4a3d1b58214246c83b811a071b84bd

Aliases

arxiv: 1201.4762 · arxiv_version: 1201.4762v1 · doi: 10.48550/arxiv.1201.4762 · pith_short_12: 777I5K5OZJWG · pith_short_16: 777I5K5OZJWGHGZX · pith_short_8: 777I5K5O

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/777I5K5OZJWGHGZXKPSPN65ZZH \
  | 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: fffe8eabaeca6c639b3753e4f6fbb9c9da4a3d1b58214246c83b811a071b84bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e966673ec3995a8b5da29445849c1025b78e3232115b360b00f7dacf0bb033e6",
    "cross_cats_sorted": [
      "math.AT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-23T16:46:55Z",
    "title_canon_sha256": "dcdd049b0f85ebf31dce82d8e3b025b126e13908187c744624628427b10e7e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4762",
    "kind": "arxiv",
    "version": 1
  }
}