Pith Number

pith:DFIZQ55J

pith:2015:DFIZQ55J7M6CV5B33YDAD6GC7C

not attested not anchored not stored refs pending

Negative heat capacity for a Klein-Gordon oscillator in non-commutative complex phase space

Hakim Guelmamene, Slimane Zaim, Yazid Delenda

arxiv:1510.00951 v2 · 2015-10-04 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFIZQ55J7M6CV5B33YDAD6GC7C}

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	2026-05-18T00:30:34.359486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19519877a9fb3c2af43bde0601f8c2f8ad4e303ce38537d4432fa824ed08af67

Aliases

arxiv: 1510.00951 · arxiv_version: 1510.00951v2 · doi: 10.48550/arxiv.1510.00951 · pith_short_12: DFIZQ55J7M6C · pith_short_16: DFIZQ55J7M6CV5B3 · pith_short_8: DFIZQ55J

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/DFIZQ55J7M6CV5B33YDAD6GC7C \
  | 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: 19519877a9fb3c2af43bde0601f8c2f8ad4e303ce38537d4432fa824ed08af67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f703a50e436b850e8019a92e0acec81163a66e2c4baf0f070d947518e186dc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-10-04T16:45:27Z",
    "title_canon_sha256": "de5b1e80ef8a883e8b4cfa9d8c26c45920f1310cbadd77ddb190dc35eca4e55d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00951",
    "kind": "arxiv",
    "version": 2
  }
}