Pith Number

pith:CSQGMNPF

pith:2012:CSQGMNPFJNJVZJOKKKHPUUO4KE

not attested not anchored not stored refs pending

On the chromatic number of a random hypergraph

Alan Frieze, Catherine Greenhill, Martin Dyer

arxiv:1208.0812 v4 · 2012-08-03 · cs.DM · 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{CSQGMNPFJNJVZJOKKKHPUUO4KE}

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	2026-05-18T02:30:08.803475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a06635e54b535ca5ca528efa51dc511586c76303b34264e4dc584ee32b4c71

Aliases

arxiv: 1208.0812 · arxiv_version: 1208.0812v4 · doi: 10.48550/arxiv.1208.0812 · pith_short_12: CSQGMNPFJNJV · pith_short_16: CSQGMNPFJNJVZJOK · pith_short_8: CSQGMNPF

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/CSQGMNPFJNJVZJOKKKHPUUO4KE \
  | 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: 14a06635e54b535ca5ca528efa51dc511586c76303b34264e4dc584ee32b4c71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c9f73bb13f5bfa969e3784616ab80ff7249043bddc89c988dc61d3cac5c1be",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-08-03T18:26:50Z",
    "title_canon_sha256": "6b4c9a2095156aac85eeeccf9bf9ed2b37183b421f73791da2daad519de2cda6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0812",
    "kind": "arxiv",
    "version": 4
  }
}