pith. sign in
Pith Number

pith:JK36EMAC

pith:2012:JK36EMACHB574WJZKQRZY3UI2X
not attested not anchored not stored refs pending

Colorful Polytopes and Graphs

Deborah Oliveros, Egon Schulte, Gabriela Araujo-Pardo, Isabel Hubard

arxiv:1203.5175 v1 · 2012-03-23 · math.CO · math.MG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JK36EMACHB574WJZKQRZY3UI2X}

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 2026-05-18T03:59:26.666106Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4ab7e23002387bfe593954239c6e88d5d26fdf49a780d3c43fa26cdbcd5cff6d

Aliases

arxiv: 1203.5175 · arxiv_version: 1203.5175v1 · doi: 10.48550/arxiv.1203.5175 · pith_short_12: JK36EMACHB57 · pith_short_16: JK36EMACHB574WJZ · pith_short_8: JK36EMAC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JK36EMACHB574WJZKQRZY3UI2X \
  | 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: 4ab7e23002387bfe593954239c6e88d5d26fdf49a780d3c43fa26cdbcd5cff6d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eb47a00fd98fc6f456a5baa9a941108d7eb28b3bff4a2156f4c1a7b16d82e32a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-23T05:09:37Z",
    "title_canon_sha256": "71c24718636f07dc43c6fbd158a917c0652bdc417c0be22dd4229dfc5f98f683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5175",
    "kind": "arxiv",
    "version": 1
  }
}