Pith Number

pith:TPZ37RQO

pith:2024:TPZ37RQOI6G723NJ4XILHJ6JXT

not attested not anchored not stored refs pending

Small Triangulations of $4$-Manifolds: Introducing the $4$-Manifold Census

Benjamin A. Burton, Jonathan Spreer, Rhuaidi Antonio Burke

arxiv:2412.04768 v2 · 2024-12-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPZ37RQOI6G723NJ4XILHJ6JXT}

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	2026-05-18T02:44:39.401371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf3bfc60e478dfd6da9e5d0b3a7c9bcf2dc5936b007f0cb210c63593b1d3001

Aliases

arxiv: 2412.04768 · arxiv_version: 2412.04768v2 · doi: 10.48550/arxiv.2412.04768 · pith_short_12: TPZ37RQOI6G7 · pith_short_16: TPZ37RQOI6G723NJ · pith_short_8: TPZ37RQO

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/TPZ37RQOI6G723NJ4XILHJ6JXT \
  | 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: 9bf3bfc60e478dfd6da9e5d0b3a7c9bcf2dc5936b007f0cb210c63593b1d3001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb88fea7bfcc4d54ff5c18cf281c7bf85717670546707949aa208e729f3786d6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-12-06T04:26:18Z",
    "title_canon_sha256": "1ffc3987e1eb044dd736e6d686da71195862e7da935e2f8d32bef06cb9f5e72d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04768",
    "kind": "arxiv",
    "version": 2
  }
}