pith. sign in
Pith Number

pith:PMBCK6JF

pith:2014:PMBCK6JFZFKRFFVYZRG67Z2KOH
not attested not anchored not stored refs pending

Ensemble and Trajectory Thermodynamics: A Brief Introduction

Christian Van den Broeck, Massimiliano Esposito

arxiv:1403.1777 v2 · 2014-03-07 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PMBCK6JFZFKRFFVYZRG67Z2KOH}

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 2026-05-18T01:44:18.398918Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7b02257925c9551296b8cc4defe74a71d16dea50808040864de54e6903a57937

Aliases

arxiv: 1403.1777 · arxiv_version: 1403.1777v2 · doi: 10.48550/arxiv.1403.1777 · pith_short_12: PMBCK6JFZFKR · pith_short_16: PMBCK6JFZFKRFFVY · pith_short_8: PMBCK6JF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PMBCK6JFZFKRFFVYZRG67Z2KOH \
  | 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: 7b02257925c9551296b8cc4defe74a71d16dea50808040864de54e6903a57937
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "92b568203bc70ad5ee949787afb1cfc780e741ea38996cefe3bcbe69a34707b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-03-07T15:21:18Z",
    "title_canon_sha256": "4c5f6b8fbb8e71427b03b807479fe5b729ffcb0ae3a2b6e5b482afb5ad854323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1777",
    "kind": "arxiv",
    "version": 2
  }
}