Pith Number

pith:CBQ4CWT5

pith:2015:CBQ4CWT5ZR2WYXDBW23LUOVPC2

not attested not anchored not stored refs pending

Thermodynamics of extensive but nonadditive systems: modified Gibbs-Duhem equation in the dipolar gas

Takashi Mori

arxiv:1510.07109 v1 · 2015-10-24 · cond-mat.stat-mech · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBQ4CWT5ZR2WYXDBW23LUOVPC2}

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	2026-05-18T01:29:20.061438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1061c15a7dcc756c5c61b6b6ba3aaf16b66bc6050511d125d4003676a7e3ae55

Aliases

arxiv: 1510.07109 · arxiv_version: 1510.07109v1 · doi: 10.48550/arxiv.1510.07109 · pith_short_12: CBQ4CWT5ZR2W · pith_short_16: CBQ4CWT5ZR2WYXDB · pith_short_8: CBQ4CWT5

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/CBQ4CWT5ZR2WYXDBW23LUOVPC2 \
  | 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: 1061c15a7dcc756c5c61b6b6ba3aaf16b66bc6050511d125d4003676a7e3ae55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d51c54424646b71ae236f37867e5492a153cb14547379e62a3e9f46533c21bd0",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-10-24T05:50:23Z",
    "title_canon_sha256": "990fc8954479913e382aa7cc3ec9980f875095ca380b67a518b786ca0d242685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07109",
    "kind": "arxiv",
    "version": 1
  }
}