Pith Number

pith:TYPJR3SF

pith:2025:TYPJR3SFQWM4PPRCTLW55NP5ZJ

not attested not anchored not stored refs pending

Generalized Beth--Uhlenbeck entropy formula from the $\Phi-$derivable approach

David Blaschke, Gerd R\"opke, Gordon Baym

arxiv:2512.03876 v1 · 2025-12-03 · nucl-th · hep-th · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYPJR3SFQWM4PPRCTLW55NP5ZJ}

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	2026-06-19T16:12:49.529851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1e98ee458599c7be229aeddeb5fdca7d69df6fa988ce55d539ba5bdb0f7ece

Aliases

arxiv: 2512.03876 · arxiv_version: 2512.03876v1 · doi: 10.48550/arxiv.2512.03876 · pith_short_12: TYPJR3SFQWM4 · pith_short_16: TYPJR3SFQWM4PPRC · pith_short_8: TYPJR3SF

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/TYPJR3SFQWM4PPRCTLW55NP5ZJ \
  | 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: 9e1e98ee458599c7be229aeddeb5fdca7d69df6fa988ce55d539ba5bdb0f7ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c28b992fc6b33d9b3424d88a1df85cc50d8b58abf6a4b1b65f3113edcaf3285",
    "cross_cats_sorted": [
      "hep-th",
      "physics.plasm-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2025-12-03T15:28:36Z",
    "title_canon_sha256": "969d35e97308e1449c7aae2f6218b5f6c18c575bab14e8cb6b42d685b7b39b2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.03876",
    "kind": "arxiv",
    "version": 1
  }
}