Pith Number

pith:Z5XOO6RK

pith:2007:Z5XOO6RK6EN422MBVC7XIKODDL

not attested not anchored not stored refs pending

Highly connected multicoloured subgraphs of multicoloured graphs

Henry Liu, Noah Prince, Robert Morris

arxiv:math/0702369 v1 · 2007-02-13 · 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{Z5XOO6RK6EN422MBVC7XIKODDL}

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	2026-07-04T14:59:31.179983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf6ee77a2af11bcd6981a8bf7429c31adb6e78bd41f31dc2e67b3d17d59fca74

Aliases

arxiv: math/0702369 · arxiv_version: math/0702369v1 · doi: 10.48550/arxiv.math/0702369 · pith_short_12: Z5XOO6RK6EN4 · pith_short_16: Z5XOO6RK6EN422MB · pith_short_8: Z5XOO6RK

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/Z5XOO6RK6EN422MBVC7XIKODDL \
  | 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: cf6ee77a2af11bcd6981a8bf7429c31adb6e78bd41f31dc2e67b3d17d59fca74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc09d4bea03397fc5d6d9ae3e0ad88110bee1c053b3688cbae4811ac2bb01a0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-02-13T15:29:53Z",
    "title_canon_sha256": "4b224824e3607dec4778eabcd1b910caa70b0086c937558e0d586dd5038287b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702369",
    "kind": "arxiv",
    "version": 1
  }
}