Pith Number

pith:ORRNK73R

pith:2026:ORRNK73RSGZK7ASXHUYNPAYQXK

not attested not anchored not stored refs pending

New upper bound for multicolor Ramsey numbers

Gang Yang, Yaping Mao

arxiv:2608.01962 v1 · 2026-08-03 · 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{ORRNK73RSGZK7ASXHUYNPAYQXK}

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	2026-08-04T02:10:16.101751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7462d57f7191b2af82573d30d78310babb1600931c82ae25da0230da7df73d0c

Aliases

arxiv: 2608.01962 · arxiv_version: 2608.01962v1 · doi: 10.48550/arxiv.2608.01962 · pith_short_12: ORRNK73RSGZK · pith_short_16: ORRNK73RSGZK7ASX · pith_short_8: ORRNK73R

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/ORRNK73RSGZK7ASXHUYNPAYQXK \
  | 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: 7462d57f7191b2af82573d30d78310babb1600931c82ae25da0230da7df73d0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3cf3eb710c694690472d6cd8e140dcd95997c03ef3272c36a771c9a0ba1bfa2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-03T09:30:23Z",
    "title_canon_sha256": "503b630d7093fa122effcfab9203b5d9d38b6819605c8bc81615c4e659a883ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01962",
    "kind": "arxiv",
    "version": 1
  }
}