Pith Number

pith:SOSFJ6UG

pith:2013:SOSFJ6UGXHUMHLS674BO7CKIU3

not attested not anchored not stored refs pending

The 3-rainbow index of graph operations

Tingting Liu, Yumei Hu

arxiv:1312.0098 v2 · 2013-11-30 · 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{SOSFJ6UGXHUMHLS674BO7CKIU3}

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	2026-05-18T02:57:17.172544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93a454fa86b9e8c3ae5eff02ef8948a6cb72f14a31058e14e028d51174443f16

Aliases

arxiv: 1312.0098 · arxiv_version: 1312.0098v2 · doi: 10.48550/arxiv.1312.0098 · pith_short_12: SOSFJ6UGXHUM · pith_short_16: SOSFJ6UGXHUMHLS6 · pith_short_8: SOSFJ6UG

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/SOSFJ6UGXHUMHLS674BO7CKIU3 \
  | 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: 93a454fa86b9e8c3ae5eff02ef8948a6cb72f14a31058e14e028d51174443f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aa669749bebde5d8e6ba934085b9d62d14a2f5379371204e503b365dfcb32a8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-30T12:11:01Z",
    "title_canon_sha256": "3cc41b658d91fcb9c410aa9f4fd1cc3bc41e392d8984bc0b045c56680d0630c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0098",
    "kind": "arxiv",
    "version": 2
  }
}