Pith Number

pith:XTDELMBD

pith:2010:XTDELMBDOJ665W5VOZF2QDIF7C

not attested not anchored not stored refs pending

Out-of-equilibrium phase transitions in the HMF model: a closer look

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

arxiv:1012.1566 v1 · 2010-12-07 · 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{XTDELMBDOJ665W5VOZF2QDIF7C}

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	2026-05-18T02:23:07.987145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc645b023727deedbb5764ba80d05f8af46b41e0df123291b1492d7f05abeb0

Aliases

arxiv: 1012.1566 · arxiv_version: 1012.1566v1 · doi: 10.48550/arxiv.1012.1566 · pith_short_12: XTDELMBDOJ66 · pith_short_16: XTDELMBDOJ665W5V · pith_short_8: XTDELMBD

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/XTDELMBDOJ665W5VOZF2QDIF7C \
  | 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: bcc645b023727deedbb5764ba80d05f8af46b41e0df123291b1492d7f05abeb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83ca989c32b9c56ef1f8668a1b3b3f045b0401eaf487ba0161ea44d080df667c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-07T17:48:39Z",
    "title_canon_sha256": "482c4f3cb40b3d4bca1faaee10e0f7cefa96bf01e7af73a67f8a6574bc78766d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1566",
    "kind": "arxiv",
    "version": 1
  }
}