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Pith Number

pith:BH2WTW35

pith:2013:BH2WTW353RCCEZA4B22DRSEFLP
not attested not anchored not stored refs pending

An energy function and its application to the periodic behavior of k-reversible processes

F\'abio Protti, Leonardo I. L. Oliveira, Valmir C. Barbosa

arxiv:1311.6126 v1 · 2013-11-24 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BH2WTW353RCCEZA4B22DRSEFLP}

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 2026-05-18T00:14:16.861630Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

09f569db7ddc4422641c0eb438c8855bd115d9246c05b21d375c435cad0b15f4

Aliases

arxiv: 1311.6126 · arxiv_version: 1311.6126v1 · doi: 10.48550/arxiv.1311.6126 · pith_short_12: BH2WTW353RCC · pith_short_16: BH2WTW353RCCEZA4 · pith_short_8: BH2WTW35
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BH2WTW353RCCEZA4B22DRSEFLP \
  | 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: 09f569db7ddc4422641c0eb438c8855bd115d9246c05b21d375c435cad0b15f4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f5ea26416e13147209c493e79314deba6870336616a61883166e69d8de2c1f84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-11-24T14:12:41Z",
    "title_canon_sha256": "9f97fe6663db52f4bffd97ce93700c37008e8b1e33891268a652ac300fef8b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6126",
    "kind": "arxiv",
    "version": 1
  }
}