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Pith Number

pith:AJFTCC2S

pith:2016:AJFTCC2SITVTKAMBUQWUF7EKAN
not attested not anchored not stored refs pending

Upper bound for the average entropy production based on stochastic entropy extrema

Surachate Limkumnerd

arxiv:1605.05435 v2 · 2016-05-18 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AJFTCC2SITVTKAMBUQWUF7EKAN}

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 2026-05-18T00:48:17.682451Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

024b310b5244eb350181a42d42fc8a03536ba07ca10846084366b4707b3267a6

Aliases

arxiv: 1605.05435 · arxiv_version: 1605.05435v2 · doi: 10.48550/arxiv.1605.05435 · pith_short_12: AJFTCC2SITVT · pith_short_16: AJFTCC2SITVTKAMB · pith_short_8: AJFTCC2S
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AJFTCC2SITVTKAMBUQWUF7EKAN \
  | 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: 024b310b5244eb350181a42d42fc8a03536ba07ca10846084366b4707b3267a6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f01b175a7515176238ad26f64573ddbed895ffa63105deb01ea9a7f8c705608a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-05-18T04:20:16Z",
    "title_canon_sha256": "1e2b0cfc0653ad0ea543ddc92e322d73fbd73bdb65305a395d7ee8783c2af061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05435",
    "kind": "arxiv",
    "version": 2
  }
}