Pith Number

pith:LIJV525Y

pith:2026:LIJV525YSQF7JYAN2WXUAI4S3S

not attested not anchored not stored refs pending

REM universality and Poisson-Dirichlet Gibbs weights for linear random energy

Francesco Concetti, Simone Franchini

arxiv:2606.07757 v1 · 2026-06-05 · math.PR · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIJV525YSQF7JYAN2WXUAI4S3S}

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	2026-06-09T01:04:51.333219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a135eebb8940bf4e00dd5af402392dc9b0c1ccfa54fdeafcb3fe8c2eaef3c2e

Aliases

arxiv: 2606.07757 · arxiv_version: 2606.07757v1 · doi: 10.48550/arxiv.2606.07757 · pith_short_12: LIJV525YSQF7 · pith_short_16: LIJV525YSQF7JYAN · pith_short_8: LIJV525Y

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/LIJV525YSQF7JYAN2WXUAI4S3S \
  | 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: 5a135eebb8940bf4e00dd5af402392dc9b0c1ccfa54fdeafcb3fe8c2eaef3c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d90442eed5ab011081a6e7c277badbedbe4771a5b282fb470e05c38871d2421",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-05T18:13:05Z",
    "title_canon_sha256": "392ed6f06eb9199e3865079906fbbc99451048e32a8d60d62d1eb082bd75c6f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07757",
    "kind": "arxiv",
    "version": 1
  }
}