Pith Number

pith:KFGHBHPW

pith:2024:KFGHBHPW4R5SFQEW43V24NKZF3

not attested not anchored not stored refs pending

Upper bounds on diagonal Ramsey numbers [after Campos, Griffiths, Morris, and Sahasrabudhe]

Yuval Wigderson

arxiv:2411.09321 v2 · 2024-11-14 · 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{KFGHBHPW4R5SFQEW43V24NKZF3}

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	2026-07-05T09:52:18.073683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

514c709df6e47b22c096e6ebae35592eff474bdf9734fdf94c6db018f9c713b3

Aliases

arxiv: 2411.09321 · arxiv_version: 2411.09321v2 · doi: 10.48550/arxiv.2411.09321 · pith_short_12: KFGHBHPW4R5S · pith_short_16: KFGHBHPW4R5SFQEW · pith_short_8: KFGHBHPW

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/KFGHBHPW4R5SFQEW43V24NKZF3 \
  | 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: 514c709df6e47b22c096e6ebae35592eff474bdf9734fdf94c6db018f9c713b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fec401287d49cb7e57eb2d35261a44c99c8acecbd8dba3f3f250c19b369b71dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-14T10:03:26Z",
    "title_canon_sha256": "2a1a718810caccc38dd7b156e81860fc25fdb8747682007e682f86843297339b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09321",
    "kind": "arxiv",
    "version": 2
  }
}