Pith Number

pith:BEBPUUH2

pith:2011:BEBPUUH23OOQMHFRSSVYQ37VUN

not attested not anchored not stored refs pending

Triangulations of hyperbolic 3-manifolds admitting strict angle structures

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

arxiv:1111.3168 v2 · 2011-11-14 · 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{BEBPUUH23OOQMHFRSSVYQ37VUN}

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	2026-05-18T02:58:00.203734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0902fa50fadb9d061cb194ab886ff5a3537342dcff8f3d4691bbd0d8a517d974

Aliases

arxiv: 1111.3168 · arxiv_version: 1111.3168v2 · doi: 10.48550/arxiv.1111.3168 · pith_short_12: BEBPUUH23OOQ · pith_short_16: BEBPUUH23OOQMHFR · pith_short_8: BEBPUUH2

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/BEBPUUH23OOQMHFRSSVYQ37VUN \
  | 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: 0902fa50fadb9d061cb194ab886ff5a3537342dcff8f3d4691bbd0d8a517d974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7392d51ce75ad0fc0dd5dbe7f4f41fd69333b1fb9ac063631d7171992a938d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-14T10:44:56Z",
    "title_canon_sha256": "b85b526ba0ef99b03ba99de6c6a8fa4706aa592877eb4e710406af50486ac0ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3168",
    "kind": "arxiv",
    "version": 2
  }
}