Pith Number

pith:NA746HI2

pith:1993:NA746HI2YU4XYZOTFULZFAC4BT

not attested not anchored not stored refs pending

The Thermodynamics of Quantum Systems and Generalizations of Zamolodchikov's C-theorem

A.H.Castro Neto, Eduardo Fradkin

arxiv:cond-mat/9301009 v1 · 1993-01-08 · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NA746HI2YU4XYZOTFULZFAC4BT}

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	2026-07-04T15:55:11.559974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

683fcf1d1ac5397c65d32d1792805c0cf8ef1b953731c24a1c64ee96af2580c2

Aliases

arxiv: cond-mat/9301009 · arxiv_version: cond-mat/9301009v1 · doi: 10.48550/arxiv.cond-mat/9301009 · pith_short_12: NA746HI2YU4X · pith_short_16: NA746HI2YU4XYZOT · pith_short_8: NA746HI2

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/NA746HI2YU4XYZOTFULZFAC4BT \
  | 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: 683fcf1d1ac5397c65d32d1792805c0cf8ef1b953731c24a1c64ee96af2580c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0d6b8de60f76e909609f9a64ec468c1c669f1ed295a7710d7a6fb8999f9ae3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1993-01-08T22:04:51Z",
    "title_canon_sha256": "b1a914c782fae62fe17200ec8481f3950fa208792e0bd822edd6d596efa38dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9301009",
    "kind": "arxiv",
    "version": 1
  }
}