Pith Number

pith:GLWQJFYT

pith:2020:GLWQJFYTB566XVUN62UONUK5L5

not attested not anchored not stored refs pending

Rainbow triangles in edge-colored complete graphs

Xiaozheng Chen, Xueliang Li

arxiv:2012.01716 v1 · 2020-12-03 · 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{GLWQJFYTB566XVUN62UONUK5L5}

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	2026-07-05T01:56:49.337830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ed0497130f7debd68df6a8e6d15d5f6788f365ba58a7df3a872337fc006442

Aliases

arxiv: 2012.01716 · arxiv_version: 2012.01716v1 · doi: 10.48550/arxiv.2012.01716 · pith_short_12: GLWQJFYTB566 · pith_short_16: GLWQJFYTB566XVUN · pith_short_8: GLWQJFYT

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/GLWQJFYTB566XVUN62UONUK5L5 \
  | 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: 32ed0497130f7debd68df6a8e6d15d5f6788f365ba58a7df3a872337fc006442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dacdacc422c92d5b8acaaf9f63fdaa6b603aefa84eddf8336349f7eaf860ea3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-12-03T05:51:02Z",
    "title_canon_sha256": "06e37493e12b42cd6cf8ed746b949a0ef32c7ab41190cf5d71c1c15d2245dc0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.01716",
    "kind": "arxiv",
    "version": 1
  }
}