Pith Number

pith:ZKZNOQ23

pith:2004:ZKZNOQ235CJI7BUBN4UKA2B5CR

not attested not anchored not stored refs pending

Ideal triangulations of 3--manifolds I: spun normal surface theory

Ensil Kang, J. Hyam Rubinstein

arxiv:math/0410541 v1 · 2004-10-25 · 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{ZKZNOQ235CJI7BUBN4UKA2B5CR}

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	2026-07-04T14:39:18.388496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab2d7435be8928f86816f28a0683d146aee86e492f6a9db19f44c96a8b85c58

Aliases

arxiv: math/0410541 · arxiv_version: math/0410541v1 · doi: 10.48550/arxiv.math/0410541 · pith_short_12: ZKZNOQ235CJI · pith_short_16: ZKZNOQ235CJI7BUB · pith_short_8: ZKZNOQ23

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/ZKZNOQ235CJI7BUBN4UKA2B5CR \
  | 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: cab2d7435be8928f86816f28a0683d146aee86e492f6a9db19f44c96a8b85c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01530d57fb43ed447736e53862c90f2d668e389feda7a45020120fcc01c3a583",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-10-25T22:56:01Z",
    "title_canon_sha256": "0bb57628eb254e427fae1565bc103de8c242e2d89d27c964b180a59c5b90928d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410541",
    "kind": "arxiv",
    "version": 1
  }
}