Pith Number

pith:5SYM7LNU

pith:2024:5SYM7LNUEU223AP72R5OJDFJJP

not attested not anchored not stored refs pending

Coloring triangles in graphs

Ayush Basu, Marcelo Sales, Vojt\v{e}ch R\"odl

arxiv:2411.13416 v1 · 2024-11-20 · 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{5SYM7LNUEU223AP72R5OJDFJJP}

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	2026-07-05T09:38:16.588294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb0cfadb42535ad81ffd47ae48ca94bdb19c7e97cafa7f0e13acee2381690ce

Aliases

arxiv: 2411.13416 · arxiv_version: 2411.13416v1 · doi: 10.48550/arxiv.2411.13416 · pith_short_12: 5SYM7LNUEU22 · pith_short_16: 5SYM7LNUEU223AP7 · pith_short_8: 5SYM7LNU

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/5SYM7LNUEU223AP72R5OJDFJJP \
  | 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: ecb0cfadb42535ad81ffd47ae48ca94bdb19c7e97cafa7f0e13acee2381690ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "964a3e02147f3160dfef3a9c63d175caa2e838a2bf2fcdeb837933b500ab0772",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-20T16:02:34Z",
    "title_canon_sha256": "228f48545e503bb886d5d1eb57a22855a7eff2f420665a1ffea1df0b1b006bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13416",
    "kind": "arxiv",
    "version": 1
  }
}