Pith Number

pith:XKL4HPQZ

pith:2007:XKL4HPQZRZPSI7IJIPJETIX5UA

not attested not anchored not stored refs pending

Highly connected monochromatic subgraphs of multicoloured graphs

Henry Liu, Noah Prince, Robert Morris

arxiv:math/0702354 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{XKL4HPQZRZPSI7IJIPJETIX5UA}

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	2026-07-04T14:59:31.104971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba97c3be198e5f247d0943d249a2fda03c6e446b85f40f6022fd152fa397ed38

Aliases

arxiv: math/0702354 · arxiv_version: math/0702354v1 · doi: 10.48550/arxiv.math/0702354 · pith_short_12: XKL4HPQZRZPS · pith_short_16: XKL4HPQZRZPSI7IJ · pith_short_8: XKL4HPQZ

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/XKL4HPQZRZPSI7IJIPJETIX5UA \
  | 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: ba97c3be198e5f247d0943d249a2fda03c6e446b85f40f6022fd152fa397ed38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5712f17c03f330843812b04fc97e337039f42fd5eee494e9d413d0c535fbbad0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-02-13T04:18:16Z",
    "title_canon_sha256": "af0df3319c66b4937d87cd3b2bdb32e372c7c0af44387923fd3012a8332bf6c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702354",
    "kind": "arxiv",
    "version": 1
  }
}