Pith Number

pith:BTM6HXFY

pith:2015:BTM6HXFYSG2NOYS7VTJSF3LDHA

not attested not anchored not stored refs pending

Exact analytical expressions for entropy production and free energy

Mesfin Asfaw Taye

arxiv:1507.01791 v1 · 2015-07-07 · 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{BTM6HXFYSG2NOYS7VTJSF3LDHA}

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	2026-05-18T01:37:12.370464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cd9e3dcb891b4d7625facd322ed6338009d7e899d68581e1f8f04e7274b9a06

Aliases

arxiv: 1507.01791 · arxiv_version: 1507.01791v1 · doi: 10.48550/arxiv.1507.01791 · pith_short_12: BTM6HXFYSG2N · pith_short_16: BTM6HXFYSG2NOYS7 · pith_short_8: BTM6HXFY

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/BTM6HXFYSG2NOYS7VTJSF3LDHA \
  | 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: 0cd9e3dcb891b4d7625facd322ed6338009d7e899d68581e1f8f04e7274b9a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dcd42bf4a7c6f7eb33e4dcfb99d86c59127b40897b936ae645776eb04fa0fc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-07-07T13:23:30Z",
    "title_canon_sha256": "4d06343b1e380c3c0dc124915c6feae207ec42cd37e38c8c28769ab34a1d526e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01791",
    "kind": "arxiv",
    "version": 1
  }
}