Pith Number

pith:G4R6WHRD

pith:2016:G4R6WHRD4OBOS5TKDGHUE7SWDH

not attested not anchored not stored refs pending

Principle of detailed balance and a dilute gas in gravitational field

Kai Zhang, Yong-Jun Zhang

arxiv:1607.06692 v3 · 2016-07-22 · 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{G4R6WHRD4OBOS5TKDGHUE7SWDH}

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	2026-05-18T00:56:11.988420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3723eb1e23e382e9766a198f427e5619c54a62e43fde4bb787b24597089c15d6

Aliases

arxiv: 1607.06692 · arxiv_version: 1607.06692v3 · doi: 10.48550/arxiv.1607.06692 · pith_short_12: G4R6WHRD4OBO · pith_short_16: G4R6WHRD4OBOS5TK · pith_short_8: G4R6WHRD

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/G4R6WHRD4OBOS5TKDGHUE7SWDH \
  | 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: 3723eb1e23e382e9766a198f427e5619c54a62e43fde4bb787b24597089c15d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f954529cfa6265d3a930736e51d026e3813e353d731c70cbd0e0690167c95f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-07-22T14:36:24Z",
    "title_canon_sha256": "1272bff20c69c54ca3f1c42b6d29d9755f97a951d770b23f12b0be45c4a5c679"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06692",
    "kind": "arxiv",
    "version": 3
  }
}