Pith Number

pith:ERUIMZPG

pith:2005:ERUIMZPGQ3B2HV3PTZ4JK526TR

not attested not anchored not stored refs pending

Toroidal Dehn fillings on hyperbolic 3-manifolds

Cameron McA. Gordon, Ying-Qing Wu

arxiv:math/0512038 v1 · 2005-12-01 · 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{ERUIMZPGQ3B2HV3PTZ4JK526TR}

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	2026-07-04T15:52:42.955794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24688665e686c3a3d76f9e7895775e9c768e0056784f9a2456950b863499a4d5

Aliases

arxiv: math/0512038 · arxiv_version: math/0512038v1 · doi: 10.48550/arxiv.math/0512038 · pith_short_12: ERUIMZPGQ3B2 · pith_short_16: ERUIMZPGQ3B2HV3P · pith_short_8: ERUIMZPG

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/ERUIMZPGQ3B2HV3PTZ4JK526TR \
  | 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: 24688665e686c3a3d76f9e7895775e9c768e0056784f9a2456950b863499a4d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2c2efc2d1f7ce7f935e8bc9b4dc282259b24210558a029da813b88abd8afc9c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-12-01T19:48:30Z",
    "title_canon_sha256": "b44d794afa17b947909d2de376fb3dde5a9387d685ca8ff2b098320a04c198dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512038",
    "kind": "arxiv",
    "version": 1
  }
}