Pith Number

pith:Q5U4JTUK

pith:2002:Q5U4JTUKGQ4KKKN5D5FD755OOY

not attested not anchored not stored refs pending

Euclidean 4-simplices and invariants of four-dimensional manifolds: III. Moves 1 <-> 5 and related structures

Igor G. Korepanov

arxiv:math/0211167 v1 · 2002-11-11 · math.GT · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5U4JTUKGQ4KKKN5D5FD755OOY}

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.

Cited by

1 paper in Pith

Quantum geometry from higher gauge theory

Receipt and verification

First computed	2026-07-04T23:58:36.132709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8769c4ce8a3438a529bd1f4a3ff7ae762535ec2406b7368f9b977b0c4f519821

Aliases

arxiv: math/0211167 · arxiv_version: math/0211167v1 · doi: 10.48550/arxiv.math/0211167 · pith_short_12: Q5U4JTUKGQ4K · pith_short_16: Q5U4JTUKGQ4KKKN5 · pith_short_8: Q5U4JTUK

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/Q5U4JTUKGQ4KKKN5D5FD755OOY \
  | 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: 8769c4ce8a3438a529bd1f4a3ff7ae762535ec2406b7368f9b977b0c4f519821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59f82ca43fcc0c367058993f08e03421f73cc60ca035befeef2b194e452efe54",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-11-11T11:50:58Z",
    "title_canon_sha256": "f98feb7be98ffc324165941791feb9ac0e3988341c12d73961664859b11ee8ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211167",
    "kind": "arxiv",
    "version": 1
  }
}