Pith Number

pith:MRP47KXR

pith:2005:MRP47KXRRS5OKLXSAAIQHBS6EJ

not attested not anchored not stored refs pending

Relation Between the Widom line and the Strong-Fragile Dynamic Crossover in Systems with a Liquid-Liquid Phase Transition

F. Sciortino, H. E. Stanley, L. Xu, P. H. Poole, P. Kumar, S.-H. Chen, S. V. Buldyrev

arxiv:cond-mat/0509616 v2 · 2005-09-23 · cond-mat.stat-mech · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRP47KXRRS5OKLXSAAIQHBS6EJ}

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	2026-05-18T01:06:52.165498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

645fcfaaf18cbae52ef2001103865e2244ff3ee990899551b2c195732817acfa

Aliases

arxiv: cond-mat/0509616 · arxiv_version: cond-mat/0509616v2 · doi: 10.48550/arxiv.cond-mat/0509616 · pith_short_12: MRP47KXRRS5O · pith_short_16: MRP47KXRRS5OKLXS · pith_short_8: MRP47KXR

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/MRP47KXRRS5OKLXSAAIQHBS6EJ \
  | 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: 645fcfaaf18cbae52ef2001103865e2244ff3ee990899551b2c195732817acfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2e3f1d29d42d0ca1fd97982ec97afa1f255a3fa4e6e01ed47ae637770bf91c4",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2005-09-23T21:06:53Z",
    "title_canon_sha256": "eb29f4ad4c8e987f14867c5ff7e977e94d071baf6381739778f67dc21851136f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0509616",
    "kind": "arxiv",
    "version": 2
  }
}