Pith Number

pith:KQTUR2VS

pith:2008:KQTUR2VS3UJLI7OCRBH64LUOCI

not attested not anchored not stored refs pending

Fundamental Cycles and Graph Embeddings

Han Ren, Haoling Li, Hongtao Zhao

arxiv:0807.1652 v1 · 2008-07-10 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQTUR2VS3UJLI7OCRBH64LUOCI}

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	2026-05-18T02:15:45.391704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

542748eab2dd12b47dc2884fee2e8e1206438cc7317058d9dc0665ea429b2211

Aliases

arxiv: 0807.1652 · arxiv_version: 0807.1652v1 · doi: 10.48550/arxiv.0807.1652 · pith_short_12: KQTUR2VS3UJL · pith_short_16: KQTUR2VS3UJLI7OC · pith_short_8: KQTUR2VS

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/KQTUR2VS3UJLI7OCRBH64LUOCI \
  | 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: 542748eab2dd12b47dc2884fee2e8e1206438cc7317058d9dc0665ea429b2211

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33c80aa7343eddb814f225e8e565272d373ae5dc084d4257a8d5dccb3f0bc95b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-07-10T13:51:17Z",
    "title_canon_sha256": "6bffef00625688f9a8d69213bf64c6542817840706804b397092b794a7085b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1652",
    "kind": "arxiv",
    "version": 1
  }
}