Pith Number

pith:PGOVLGNE

pith:2012:PGOVLGNEWQ6U35VWHAVURUP3FR

not attested not anchored not stored refs pending

On irreducible triangulations of punctured and pinched surfaces

(2) Department of Higher Mathematics 1, (3) Departamento de Geometr\'ia y Topolog\'ia, A. Quintero (3), M. J. Ch\'avez (1), M. T. Villar (3) ((1) Departamento de Matem\'atica Aplicada I, National Research University of Electronic Technology, Russia, Sevilla, S. Lawrencenko (2), Spain, Spain), Universidad de Sevilla, Zelenograd

arxiv:1207.2800 v2 · 2012-07-11 · math.CO · math.GN · math.GT · math.HO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGOVLGNEWQ6U35VWHAVURUP3FR}

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	2026-05-18T03:22:06.115531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799d5599a4b43d4df6b6382b48d1fb2c5f9e71ab5db68a547032b2874651f02d

Aliases

arxiv: 1207.2800 · arxiv_version: 1207.2800v2 · doi: 10.48550/arxiv.1207.2800 · pith_short_12: PGOVLGNEWQ6U · pith_short_16: PGOVLGNEWQ6U35VW · pith_short_8: PGOVLGNE

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/PGOVLGNEWQ6U35VWHAVURUP3FR \
  | 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: 799d5599a4b43d4df6b6382b48d1fb2c5f9e71ab5db68a547032b2874651f02d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b74cbd77dd3691907b3830ae0d8a4a87578878cfb18fb7627a5b4c9544028fbf",
    "cross_cats_sorted": [
      "math.GN",
      "math.GT",
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-11T22:10:37Z",
    "title_canon_sha256": "f0bf268748059c5c2bb69a260ebef60b4d08cd7ebbf5659148836b4bb2aa5d64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2800",
    "kind": "arxiv",
    "version": 2
  }
}