Pith Number

pith:UD4BM2QG

pith:2014:UD4BM2QG5BOZSUYOU53KJTJBFO

not attested not anchored not stored refs pending

Triangulations of 3-manifolds with essential edges

Craig D. Hodgson, Henry Segerman, J. Hyam Rubinstein, Stephan Tillmann

arxiv:1412.0401 v2 · 2014-12-01 · 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{UD4BM2QG5BOZSUYOU53KJTJBFO}

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	2026-05-18T02:17:33.423530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f8166a06e85d99530ea776a4cd212baa567ce6f7389fea95e1a09b40871e32

Aliases

arxiv: 1412.0401 · arxiv_version: 1412.0401v2 · doi: 10.48550/arxiv.1412.0401 · pith_short_12: UD4BM2QG5BOZ · pith_short_16: UD4BM2QG5BOZSUYO · pith_short_8: UD4BM2QG

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/UD4BM2QG5BOZSUYOU53KJTJBFO \
  | 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: a0f8166a06e85d99530ea776a4cd212baa567ce6f7389fea95e1a09b40871e32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9f4439d793d000a9dc121c374c8d1a614c2420692b0ec46a82515f219c7aeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-01T10:08:36Z",
    "title_canon_sha256": "e70057bf3801171698538d7fc7c2f11d180b72ee05dae90d3e3bbd3429659d5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0401",
    "kind": "arxiv",
    "version": 2
  }
}