Pith Number

pith:XC5ZZB2J

pith:2022:XC5ZZB2JYAX42HZ4W26YHDDPCY

not attested not anchored not stored refs pending

New Ramsey Multiplicity Bounds and Search Heuristics

Christoph Spiegel, Olaf Parczyk, Sebastian Pokutta, Tibor Szab\'o

arxiv:2206.04036 v3 · 2022-06-08 · 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{XC5ZZB2JYAX42HZ4W26YHDDPCY}

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	2026-07-05T09:06:38.751046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8bb9c8749c02fcd1f3cb6bd838c6f160f51b400a9bdc917269707746874986a

Aliases

arxiv: 2206.04036 · arxiv_version: 2206.04036v3 · doi: 10.48550/arxiv.2206.04036 · pith_short_12: XC5ZZB2JYAX4 · pith_short_16: XC5ZZB2JYAX42HZ4 · pith_short_8: XC5ZZB2J

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/XC5ZZB2JYAX42HZ4W26YHDDPCY \
  | 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: b8bb9c8749c02fcd1f3cb6bd838c6f160f51b400a9bdc917269707746874986a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61aa5cd9a3a6fcead5a83a5785256c681c9cc1ec7240ab02e0417dce7a34a1f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-08T17:51:47Z",
    "title_canon_sha256": "a81b5baed4666d720f98cb7ef4acfe5ba105bb571a5918b33bc50a9099417091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.04036",
    "kind": "arxiv",
    "version": 3
  }
}