Pith Number

pith:IMNID4PJ

pith:2012:IMNID4PJYMOMSLEORYP3PL62TJ

not attested not anchored not stored refs pending

A new approach to crushing 3-manifold triangulations

Benjamin A. Burton

arxiv:1212.1441 v3 · 2012-12-06 · math.GT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMNID4PJYMOMSLEORYP3PL62TJ}

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	2026-05-18T02:47:24.473404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

431a81f1e9c31cc92c8e8e1fb7afda9a734241ec84f921f7ff25fe6763c5b376

Aliases

arxiv: 1212.1441 · arxiv_version: 1212.1441v3 · doi: 10.48550/arxiv.1212.1441 · pith_short_12: IMNID4PJYMOM · pith_short_16: IMNID4PJYMOMSLEO · pith_short_8: IMNID4PJ

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/IMNID4PJYMOMSLEORYP3PL62TJ \
  | 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: 431a81f1e9c31cc92c8e8e1fb7afda9a734241ec84f921f7ff25fe6763c5b376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca643848bd9032c03abb16464a7c29e72e1af72ae73748a69104f7103d2d3dc5",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-06T20:36:18Z",
    "title_canon_sha256": "3e68ae786c264c1d9d969bfb4ee95d4d527564a567b2e86592e5700cacb0f02e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1441",
    "kind": "arxiv",
    "version": 3
  }
}