Pith Number

pith:Q6ASMKKM

pith:2017:Q6ASMKKMWSLNI242R5MSYLYSSA

not attested not anchored not stored refs pending

Definitions and Evolutions of Statistical Entropy for Hamiltonian Systems

Astronomy, Shanghai Jiao Tong University), Xiangjun Xing (School of Physics

arxiv:1709.08906 v2 · 2017-09-26 · 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{Q6ASMKKMWSLNI242R5MSYLYSSA}

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.

Cited by

1 paper in Pith

Combinatorial Approach to the Second Law

Receipt and verification

First computed	2026-05-18T00:32:38.740922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

878126294cb496d46b9a8f592c2f12901ea527cb5a17b60d9e4620d5558c8aa3

Aliases

arxiv: 1709.08906 · arxiv_version: 1709.08906v2 · doi: 10.48550/arxiv.1709.08906 · pith_short_12: Q6ASMKKMWSLN · pith_short_16: Q6ASMKKMWSLNI242 · pith_short_8: Q6ASMKKM

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/Q6ASMKKMWSLNI242R5MSYLYSSA \
  | 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: 878126294cb496d46b9a8f592c2f12901ea527cb5a17b60d9e4620d5558c8aa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df5ce89a44b1ce97a7f6d7ef25e5cf4bd6e2d0708e1b776081c526e21b43a357",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-09-26T09:19:22Z",
    "title_canon_sha256": "6ba8dfea4308fd2bd9069b72e2bdb598deb9acc06950c150eabbe3dbdc8f01ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08906",
    "kind": "arxiv",
    "version": 2
  }
}