Pith Number

pith:CA3HIRY4

pith:2012:CA3HIRY4754LYGGCFLPWCI5DEP

not attested not anchored not stored refs pending

Rainbow triangles in edge-colored graphs

Binlong Li, Bo Ning, Chuandong Xu, Shenggui Zhang

arxiv:1212.6348 v2 · 2012-12-27 · 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{CA3HIRY4754LYGGCFLPWCI5DEP}

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	2026-05-18T01:11:58.016383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

103674471cff78bc18c22adf6123a323dc86000111c6b7e03749b0797c2c569d

Aliases

arxiv: 1212.6348 · arxiv_version: 1212.6348v2 · doi: 10.48550/arxiv.1212.6348 · pith_short_12: CA3HIRY4754L · pith_short_16: CA3HIRY4754LYGGC · pith_short_8: CA3HIRY4

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/CA3HIRY4754LYGGCFLPWCI5DEP \
  | 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: 103674471cff78bc18c22adf6123a323dc86000111c6b7e03749b0797c2c569d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e17375f529a698e5671e97d00430b9fc933aadd30a48b9f50182b9332d2d802",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-27T11:22:56Z",
    "title_canon_sha256": "9b18f289e6fb79d0a85432e8985c6e94e62a50b307f181e0c57c65652b6563b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6348",
    "kind": "arxiv",
    "version": 2
  }
}