Pith Number

pith:E7O2ZZLX

pith:2022:E7O2ZZLX6NQJ7TKNQZU77O2455

not attested not anchored not stored refs pending

Tower Gaps in Multicolour Ramsey Numbers

Ant\'onio Gir\~ao, Corrine Yap, Eoin Hurley, Quentin Dubroff

arxiv:2202.14032 v2 · 2022-02-28 · 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{E7O2ZZLX6NQJ7TKNQZU77O2455}

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	2026-07-05T06:52:42.865966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27ddace577f3609fcd4d8669ffbb5cef52f6d3425622be0c78f1818ec7e0a311

Aliases

arxiv: 2202.14032 · arxiv_version: 2202.14032v2 · doi: 10.48550/arxiv.2202.14032 · pith_short_12: E7O2ZZLX6NQJ · pith_short_16: E7O2ZZLX6NQJ7TKN · pith_short_8: E7O2ZZLX

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/E7O2ZZLX6NQJ7TKNQZU77O2455 \
  | 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: 27ddace577f3609fcd4d8669ffbb5cef52f6d3425622be0c78f1818ec7e0a311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a1294b5a05152fec109a9b04da775efd085a2b52f9ffde3ffb0f67b17a71b93",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-02-28T18:56:19Z",
    "title_canon_sha256": "3d44d136879109ec508077c8b63aa0d2edea990d5e759f51296e00c68cadb39d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.14032",
    "kind": "arxiv",
    "version": 2
  }
}