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Pith Number

pith:ALCOKEB2

pith:2011:ALCOKEB2MX4XZXSPWFHVVM2C6B
not attested not anchored not stored refs pending

On entropy in eulerian thermodynamics

Abhishek Pathak, Christian Fr{\o}nsdal

arxiv:1106.2273 v1 · 2011-06-12 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ALCOKEB2MX4XZXSPWFHVVM2C6B}

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 2026-05-18T02:01:39.692726Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

02c4e5103a65f97cde4fb14f5ab342f0708fd93a22ec3d6136585423d0cee1dd

Aliases

arxiv: 1106.2273 · arxiv_version: 1106.2273v1 · doi: 10.48550/arxiv.1106.2273 · pith_short_12: ALCOKEB2MX4X · pith_short_16: ALCOKEB2MX4XZXSP · pith_short_8: ALCOKEB2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ALCOKEB2MX4XZXSPWFHVVM2C6B \
  | 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: 02c4e5103a65f97cde4fb14f5ab342f0708fd93a22ec3d6136585423d0cee1dd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "605a13308157775dd657afa4d518a587099c9383e5c9521468e731e2c065285c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-06-12T02:40:05Z",
    "title_canon_sha256": "19e04fad623d67d0906f9cf0696f054310b40fc2ba87a83d8bf1d0e99ac6f2f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2273",
    "kind": "arxiv",
    "version": 1
  }
}