Pith Number

pith:23MRGO2R

pith:2014:23MRGO2RXBPHPXZ7E334M5DDST

not attested not anchored not stored refs pending

Complementary Ramsey numbers and Ramsey graphs

Akihiro Munemasa, Masashi Shinohara

arxiv:1406.2050 v2 · 2014-06-09 · 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{23MRGO2RXBPHPXZ7E334M5DDST}

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	2026-05-18T00:01:53.831193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6d9133b51b85e77df3f26f7c6746394d88d5784cacca81a1fae1ba36e8b2bd4

Aliases

arxiv: 1406.2050 · arxiv_version: 1406.2050v2 · doi: 10.48550/arxiv.1406.2050 · pith_short_12: 23MRGO2RXBPH · pith_short_16: 23MRGO2RXBPHPXZ7 · pith_short_8: 23MRGO2R

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/23MRGO2RXBPHPXZ7E334M5DDST \
  | 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: d6d9133b51b85e77df3f26f7c6746394d88d5784cacca81a1fae1ba36e8b2bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea7e727c176ce0a3f183f0eca2d16f366fafbb5ddf30f3316cc8f1ed338b0b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-09T01:35:15Z",
    "title_canon_sha256": "aadd6c5d2434a16acf51c31b8b4967c5afc87d9fccad9bc8096867bbe5cce8d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2050",
    "kind": "arxiv",
    "version": 2
  }
}