Pith Number

pith:SUOBZJ6H

pith:2009:SUOBZJ6HPW7KZ6VQEUWAAW25GB

not attested not anchored not stored refs pending

Out-of-equilibrium phase re-entrance(s) in long-range interacting systems

D. Fanelli, F. Staniscia, G. De Ninno, P.H. Chavanis

arxiv:0903.5039 v1 · 2009-03-29 · 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{SUOBZJ6HPW7KZ6VQEUWAAW25GB}

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	2026-05-18T02:14:18.774953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

951c1ca7c77dbeacfab0252c005b5d3079e93aadad0dca2b5333b0ce35de5ec3

Aliases

arxiv: 0903.5039 · arxiv_version: 0903.5039v1 · doi: 10.48550/arxiv.0903.5039 · pith_short_12: SUOBZJ6HPW7K · pith_short_16: SUOBZJ6HPW7KZ6VQ · pith_short_8: SUOBZJ6H

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/SUOBZJ6HPW7KZ6VQEUWAAW25GB \
  | 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: 951c1ca7c77dbeacfab0252c005b5d3079e93aadad0dca2b5333b0ce35de5ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "240a4edc23831c62e1a17cd69ddf4c1bb9d6829d5f77fde79b8f54eb113b6312",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-03-29T12:29:35Z",
    "title_canon_sha256": "c5758dd9660bf21fdc29669aefbf8004c88905b30ef7c6684d45d03e64a9bcfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5039",
    "kind": "arxiv",
    "version": 1
  }
}