Pith Number

pith:TTXFOY3Y

pith:2025:TTXFOY3YOFMGSDU5SBXRHHGAZM

not attested not anchored not stored refs pending

Reconstructing the Probability Measure of a Curie-Weiss Model Observing the Realisations of a Subset of Spins

Gabor Toth, Ivan Naumkin, Miguel Ballesteros

arxiv:2508.03452 v1 · 2025-08-05 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTXFOY3YOFMGSDU5SBXRHHGAZM}

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	2026-07-05T11:48:56.607087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cee5763787158690e9d906f139cc0cb1e8c1618f8bc5d7c24248d852c07a259

Aliases

arxiv: 2508.03452 · arxiv_version: 2508.03452v1 · doi: 10.48550/arxiv.2508.03452 · pith_short_12: TTXFOY3YOFMG · pith_short_16: TTXFOY3YOFMGSDU5 · pith_short_8: TTXFOY3Y

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/TTXFOY3YOFMGSDU5SBXRHHGAZM \
  | 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: 9cee5763787158690e9d906f139cc0cb1e8c1618f8bc5d7c24248d852c07a259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba56ec78828a8ccda144b3e35524def6f41f69e350fa9dca02faa8d06881bf73",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-05T13:53:53Z",
    "title_canon_sha256": "34a5595be1b454a2b8ea0f5b253cd3da6ee887e08ede1918e6abf76c013bed57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.03452",
    "kind": "arxiv",
    "version": 1
  }
}