Pith Number

pith:NZO2GS65

pith:2019:NZO2GS65ETVGZ4UJCG2VPEMDDI

not attested not anchored not stored refs pending

Ramsey and Gallai-Ramsey numbers for stars with extra independent edges

Colton Magnant, Ingo Schiermeyer, Yaping Mao, Zhao Wang

arxiv:1908.02348 v1 · 2019-08-06 · 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{NZO2GS65ETVGZ4UJCG2VPEMDDI}

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	2026-07-04T23:52:07.769034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e5da34bdd24ea6cf28911b55791831a0244e69b94f33bc4aecf4dea5ab0c430

Aliases

arxiv: 1908.02348 · arxiv_version: 1908.02348v1 · doi: 10.48550/arxiv.1908.02348 · pith_short_12: NZO2GS65ETVG · pith_short_16: NZO2GS65ETVGZ4UJ · pith_short_8: NZO2GS65

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/NZO2GS65ETVGZ4UJCG2VPEMDDI \
  | 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: 6e5da34bdd24ea6cf28911b55791831a0244e69b94f33bc4aecf4dea5ab0c430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db712f02073450d795477388dd8a6bfbc12f84a003133a1447ce51215a65c82",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-06T20:11:30Z",
    "title_canon_sha256": "f5a3e76f2af75715fd07eb6351c3e55ee9c825b5ebe25206980f14888901156b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02348",
    "kind": "arxiv",
    "version": 1
  }
}