Pith Number

pith:KIU55XIO

pith:2013:KIU55XIO3CUAGPJM4HIEP6N6JS

not attested not anchored not stored refs pending

Irreducible triangulations of the M\"obius band

(2) Russian State University of Tourism, (3) Departamento de Geometr\'ia y Topolog\'ia, Antonio Quintero (3), Lyubertsy, Mar\'ia-Jos\'e Ch\'avez (1), Mar\'ia Trinidad Villar (3) ((1) Departamento de Matem\'atica Aplicada I, Moscow region, Russia, Serge Lawrencenko (2), Service, Spain, Spain.), Universidad de Sevilla

arxiv:1306.3550 v1 · 2013-06-15 · math.CO · 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{KIU55XIO3CUAGPJM4HIEP6N6JS}

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	2026-05-18T02:40:03.461183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5229dedd0ed8a8033d2ce1d047f9be4c835d52f0f5bb085a0e9a65fa5c702daa

Aliases

arxiv: 1306.3550 · arxiv_version: 1306.3550v1 · doi: 10.48550/arxiv.1306.3550 · pith_short_12: KIU55XIO3CUA · pith_short_16: KIU55XIO3CUAGPJM · pith_short_8: KIU55XIO

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/KIU55XIO3CUAGPJM4HIEP6N6JS \
  | 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: 5229dedd0ed8a8033d2ce1d047f9be4c835d52f0f5bb085a0e9a65fa5c702daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "988e6e4669ec2837a3b04fcffe72162c015ac8abe20e77440febcbce8ad22aba",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-15T06:06:40Z",
    "title_canon_sha256": "11697bba91247a8a547428bd2ee6419d143dfc7d430d079f23c44bfad727c3a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3550",
    "kind": "arxiv",
    "version": 1
  }
}