Pith Number

pith:CER7QAEF

pith:2006:CER7QAEFE3AFLG6NDGD5N5YZRI

not attested not anchored not stored refs pending

A function on the homology of 3-manifolds

Vladimir Turaev

arxiv:math/0611149 v2 · 2006-11-06 · 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{CER7QAEFE3AFLG6NDGD5N5YZRI}

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	2026-05-18T02:41:26.700702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1123f8008526c0559bcd1987d6f7198a3138fba9d278ad98879ad1b321686851

Aliases

arxiv: math/0611149 · arxiv_version: math/0611149v2 · doi: 10.48550/arxiv.math/0611149 · pith_short_12: CER7QAEFE3AF · pith_short_16: CER7QAEFE3AFLG6N · pith_short_8: CER7QAEF

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/CER7QAEFE3AFLG6NDGD5N5YZRI \
  | 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: 1123f8008526c0559bcd1987d6f7198a3138fba9d278ad98879ad1b321686851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b880b44ad28e4fe0f33119621e5bd390fc196830498266731d54566ba1b5d72",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-11-06T18:44:21Z",
    "title_canon_sha256": "ad336fb205994f3a8cc1b7f265d86cfa330987b5caf1125555a02d3801bd892e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611149",
    "kind": "arxiv",
    "version": 2
  }
}