Pith Number

pith:F4DRWRWG

pith:2026:F4DRWRWGVLVBH76WKBDEKVOTAK

not attested not anchored not stored refs pending

Generalised Prisms and Euclidean Ramsey Theory

Imre Leader, Maria-Romina Ivan, Mark Walters

arxiv:2606.13472 v1 · 2026-06-11 · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4DRWRWGVLVBH76WKBDEKVOTAK}

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	2026-06-12T01:10:04.310757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f071b46c6aaea13ffd650464555d302a77dba4ce39468f71e6efeb52a283d83

Aliases

arxiv: 2606.13472 · arxiv_version: 2606.13472v1 · doi: 10.48550/arxiv.2606.13472 · pith_short_12: F4DRWRWGVLVB · pith_short_16: F4DRWRWGVLVBH76W · pith_short_8: F4DRWRWG

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/F4DRWRWGVLVBH76WKBDEKVOTAK \
  | 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: 2f071b46c6aaea13ffd650464555d302a77dba4ce39468f71e6efeb52a283d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e40ea12565a244de853ad333e3e68e8ba06eb3ae79cf2e74ef85cd93f89cf840",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-11T15:25:49Z",
    "title_canon_sha256": "5d50904c5a41128e4f3e74f071c54bde1979916f000bf700c83a6f12d8aca619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13472",
    "kind": "arxiv",
    "version": 1
  }
}