Pith Number

pith:VKK62NEY

pith:2004:VKK62NEYRL7F4BZAY37K762FSN

not attested not anchored not stored refs pending

Unattainability of a purely topological criterion for the existence of a phase transition for non-confining potentials

Michael Kastner

arxiv:cond-mat/0404511 v3 · 2004-04-21 · 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{VKK62NEYRL7F4BZAY37K762FSN}

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	2026-07-04T14:21:09.592128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa95ed34988afe5e0720c6feaffb459365bb6981315e74560122f921e7770691

Aliases

arxiv: cond-mat/0404511 · arxiv_version: cond-mat/0404511v3 · doi: 10.48550/arxiv.cond-mat/0404511 · pith_short_12: VKK62NEYRL7F · pith_short_16: VKK62NEYRL7F4BZA · pith_short_8: VKK62NEY

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/VKK62NEYRL7F4BZAY37K762FSN \
  | 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: aa95ed34988afe5e0720c6feaffb459365bb6981315e74560122f921e7770691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6c09bb117fdd2f1c3d3ef0c7bfbf59aace3b485e2beb79c35caf7801a6eb32b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2004-04-21T16:30:17Z",
    "title_canon_sha256": "e124d6f92dcbe29b58a2fa2e61d98d11050230d94331f2843abfd92728cd98b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0404511",
    "kind": "arxiv",
    "version": 3
  }
}