Pith Number

pith:EA7DNSFR

pith:2013:EA7DNSFREF5BZ5FQ7SDEMJZKHE

not attested not anchored not stored refs pending

Structure of 1-RSB asymptotic Gibbs measures in the diluted p-spin models

Dmitry Panchenko

arxiv:1308.1944 v1 · 2013-08-08 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EA7DNSFREF5BZ5FQ7SDEMJZKHE}

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	2026-05-18T01:48:22.079217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

203e36c8b1217a1cf4b0fc8646272a3937589b27ffe512c97c5c1d823117e377

Aliases

arxiv: 1308.1944 · arxiv_version: 1308.1944v1 · doi: 10.48550/arxiv.1308.1944 · pith_short_12: EA7DNSFREF5B · pith_short_16: EA7DNSFREF5BZ5FQ · pith_short_8: EA7DNSFR

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/EA7DNSFREF5BZ5FQ7SDEMJZKHE \
  | 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: 203e36c8b1217a1cf4b0fc8646272a3937589b27ffe512c97c5c1d823117e377

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b032b0c6db4e54197214501b58cda33c5bdc270017772e47f84f3d98e3bd1323",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-08T19:44:23Z",
    "title_canon_sha256": "f1923207869176fc29c7449d7e667397991d3367a0c6e8cb22e63171d61bbb63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1944",
    "kind": "arxiv",
    "version": 1
  }
}