Pith Number

pith:CBBNASGC

pith:2005:CBBNASGCYS66QDZIR4VVCPYJB6

not attested not anchored not stored refs pending

The mean-field phi4-model: entropy, analyticity, and configuration space topology

Ingo Hahn, Michael Kastner

arxiv:cond-mat/0506649 v1 · 2005-06-24 · 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{CBBNASGCYS66QDZIR4VVCPYJB6}

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	2026-07-04T14:48:23.131637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1042d048c2c4bde80f288f2b513f090f83dbcbebd6b46d1f9cd5dd1b46170f03

Aliases

arxiv: cond-mat/0506649 · arxiv_version: cond-mat/0506649v1 · doi: 10.48550/arxiv.cond-mat/0506649 · pith_short_12: CBBNASGCYS66 · pith_short_16: CBBNASGCYS66QDZI · pith_short_8: CBBNASGC

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/CBBNASGCYS66QDZIR4VVCPYJB6 \
  | 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: 1042d048c2c4bde80f288f2b513f090f83dbcbebd6b46d1f9cd5dd1b46170f03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815dede9fecb55070162837bd6e384a6e081486b67125d3d2317c16134f6dd86",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2005-06-24T13:39:57Z",
    "title_canon_sha256": "2ae9a3e478e3ad4fe0573bc5fb29811c81abe46f3dc738edc2ae39d6bad511c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0506649",
    "kind": "arxiv",
    "version": 1
  }
}