Pith Number

pith:JCZPBLYB

pith:2011:JCZPBLYBGTS4K62AGACZTTB3OG

not attested not anchored not stored refs pending

Toric Topology. Chapter 1: Geometry and combinatorics of polytopes

Taras Panov, Victor Buchstaber

arxiv:1102.1079 v2 · 2011-02-05 · math.CO · math.AT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCZPBLYBGTS4K62AGACZTTB3OG}

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	2026-05-18T03:43:42.651651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b2f0af0134e5c57b40300599cc3b718c37982d14f37ccd552e2eb1225f98f6

Aliases

arxiv: 1102.1079 · arxiv_version: 1102.1079v2 · doi: 10.48550/arxiv.1102.1079 · pith_short_12: JCZPBLYBGTS4 · pith_short_16: JCZPBLYBGTS4K62A · pith_short_8: JCZPBLYB

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/JCZPBLYBGTS4K62AGACZTTB3OG \
  | 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: 48b2f0af0134e5c57b40300599cc3b718c37982d14f37ccd552e2eb1225f98f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c495e766e9dd73c5a01df941f9e4c8ac7b571e354401d7269137fc8b6b65f18",
    "cross_cats_sorted": [
      "math.AT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-05T15:33:00Z",
    "title_canon_sha256": "62f2de5465ef75947c9ae6170c7e540b8874edb36cc3b6f6267741ca3479a2be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1079",
    "kind": "arxiv",
    "version": 2
  }
}