Pith Number

pith:TKHEB5IS

pith:2022:TKHEB5ISMWTJJ5RW463MQ3AT4G

not attested not anchored not stored refs pending

Study of Exoo's Lower Bound for Ramsey number $R(5,5)$

Alex Qiu, Lachlan Ge, Michael Sun, Victor Yuan, Yasiru Jayasooriya

arxiv:2212.12630 v3 · 2022-12-24 · 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{TKHEB5ISMWTJJ5RW463MQ3AT4G}

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	2026-07-05T05:54:34.762176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a8e40f51265a694f636e7b6c86c13e193a186b378841f2f527ad6cd402276b1

Aliases

arxiv: 2212.12630 · arxiv_version: 2212.12630v3 · doi: 10.48550/arxiv.2212.12630 · pith_short_12: TKHEB5ISMWTJ · pith_short_16: TKHEB5ISMWTJJ5RW · pith_short_8: TKHEB5IS

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/TKHEB5ISMWTJJ5RW463MQ3AT4G \
  | 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: 9a8e40f51265a694f636e7b6c86c13e193a186b378841f2f527ad6cd402276b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b6867329679a31340e750321ec1ac7a2ef37a371672666d08681c4814cb2af",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-24T01:53:15Z",
    "title_canon_sha256": "7a824b22cb8d6ec680d71cad37930dbd2a3f618d8a4e4b0ea0aee2791688a61a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.12630",
    "kind": "arxiv",
    "version": 3
  }
}