Pith Number

pith:US62CTW7

pith:2026:US62CTW7A7Y57ZEW6HXEGIQGRF

not attested not anchored not stored refs pending

The Ramsey community number as a renormalization-group crossing

Alexei Vazquez

arxiv:2607.05954 v1 · 2026-07-07 · cond-mat.stat-mech · math.CO · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{US62CTW7A7Y57ZEW6HXEGIQGRF}

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	2026-07-08T01:18:51.560321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4bda14edf07f1dfe496f1ee4322068976181d1a306c76b08563afbc4b3ad286

Aliases

arxiv: 2607.05954 · arxiv_version: 2607.05954v1 · doi: 10.48550/arxiv.2607.05954 · pith_short_12: US62CTW7A7Y5 · pith_short_16: US62CTW7A7Y57ZEW · pith_short_8: US62CTW7

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/US62CTW7A7Y57ZEW6HXEGIQGRF \
  | 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: a4bda14edf07f1dfe496f1ee4322068976181d1a306c76b08563afbc4b3ad286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5205a1cf50964e7331f3f2329fef75781e7e8787c2c784dea8d40a2a694e8bc8",
    "cross_cats_sorted": [
      "math.CO",
      "physics.soc-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-07T07:54:39Z",
    "title_canon_sha256": "abfb5f20c2231ec86f99629a03470a1f04ee446b7d7a165804e1c52ad1b0840d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05954",
    "kind": "arxiv",
    "version": 1
  }
}