Pith Number

pith:XC7FPCMG

pith:2023:XC7FPCMGMNRDWOS22V6AEMAIVB

not attested not anchored not stored refs pending

New bounds on the generalized Ramsey number $f(n,5,8)$

Alex Parker, Coy Schwieder, Emily Heath, Enrique Gomez-Leos, Shira Zerbib

arxiv:2308.16365 v2 · 2023-08-30 · 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{XC7FPCMGMNRDWOS22V6AEMAIVB}

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	2026-07-05T07:58:22.795602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8be57898663623b3a5ad57c023008a874043cf6961064d65c67e8e9ee3b07ab

Aliases

arxiv: 2308.16365 · arxiv_version: 2308.16365v2 · doi: 10.48550/arxiv.2308.16365 · pith_short_12: XC7FPCMGMNRD · pith_short_16: XC7FPCMGMNRDWOS2 · pith_short_8: XC7FPCMG

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/XC7FPCMGMNRDWOS22V6AEMAIVB \
  | 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: b8be57898663623b3a5ad57c023008a874043cf6961064d65c67e8e9ee3b07ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a61a6103fd51bb82b6eeeedb803a61a034efc92f78c5dcc66c4b6bbe61affd9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-30T23:44:49Z",
    "title_canon_sha256": "8adf07fc666234a55cfb8a703187e07ecbd3ab19ed9fce397698b63e61836283"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.16365",
    "kind": "arxiv",
    "version": 2
  }
}