Pith Number

pith:MEN4THR7

pith:2017:MEN4THR7A4PGEWMR3XPDFZDJMW

not attested not anchored not stored refs pending

Redundant edges in Ramsey graphs

Yan Li, Ye Wang, Yusheng Li

arxiv:1712.03226 v5 · 2017-12-08 · 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{MEN4THR7A4PGEWMR3XPDFZDJMW}

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	2026-05-17T23:48:22.823947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

611bc99e3f071e625991ddde32e469659b1699a9d13f8ddc4e756d1166aeddf3

Aliases

arxiv: 1712.03226 · arxiv_version: 1712.03226v5 · doi: 10.48550/arxiv.1712.03226 · pith_short_12: MEN4THR7A4PG · pith_short_16: MEN4THR7A4PGEWMR · pith_short_8: MEN4THR7

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/MEN4THR7A4PGEWMR3XPDFZDJMW \
  | 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: 611bc99e3f071e625991ddde32e469659b1699a9d13f8ddc4e756d1166aeddf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb6ca18fe0679c6800d8dafc88fa4dffc8d6c5affedb393407085fe3fdf1954d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-08T03:34:12Z",
    "title_canon_sha256": "152ff42199f0da95d6d74f40a5f836790f7dea8fd557519dae33e973d36aba12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03226",
    "kind": "arxiv",
    "version": 5
  }
}