Pith Number

pith:OAIJ5EIS

pith:2012:OAIJ5EISNZ6XSKERWWXFR77MEX

not attested not anchored not stored refs pending

The homeomorphism problem for closed 3-manifolds

Hamish Short, Peter Scott

arxiv:1211.0264 v2 · 2012-11-01 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OAIJ5EISNZ6XSKERWWXFR77MEX}

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	2026-05-18T02:38:17.571401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70109e91126e7d792891b5ae58ffec25fb8df635d7fcb71c6fd6cc8c85eaceac

Aliases

arxiv: 1211.0264 · arxiv_version: 1211.0264v2 · doi: 10.48550/arxiv.1211.0264 · pith_short_12: OAIJ5EISNZ6X · pith_short_16: OAIJ5EISNZ6XSKER · pith_short_8: OAIJ5EIS

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/OAIJ5EISNZ6XSKERWWXFR77MEX \
  | 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: 70109e91126e7d792891b5ae58ffec25fb8df635d7fcb71c6fd6cc8c85eaceac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9749007680369f9bf98135c0e2dad888805ee231dba3aa84d594cf9ad16b02a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-01T19:40:14Z",
    "title_canon_sha256": "5988bb19d02d4c3f26fbc56e0d40878206e3218ee2b43b58efa69dbe022dd1ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0264",
    "kind": "arxiv",
    "version": 2
  }
}