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Pith Number

pith:V6WAYVZY

pith:2011:V6WAYVZYXJC6P7IAVDZ5MVQLYS
not attested not anchored not stored refs pending

A Characterization of Entropy in Terms of Information Loss

John C. Baez, Tobias Fritz, Tom Leinster

arxiv:1106.1791 v3 · 2011-06-09 · cs.IT · math-ph · math.IT · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V6WAYVZYXJC6P7IAVDZ5MVQLYS}

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 2026-05-18T00:37:49.203556Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

afac0c5738ba45e7fd00a8f3d6560bc4bd10cfcba65325d4077f6099df4ba29a

Aliases

arxiv: 1106.1791 · arxiv_version: 1106.1791v3 · doi: 10.48550/arxiv.1106.1791 · pith_short_12: V6WAYVZYXJC6 · pith_short_16: V6WAYVZYXJC6P7IA · pith_short_8: V6WAYVZY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V6WAYVZYXJC6P7IAVDZ5MVQLYS \
  | 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: afac0c5738ba45e7fd00a8f3d6560bc4bd10cfcba65325d4077f6099df4ba29a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1e26db7cce20f320bf21e383bdb88e897f55a6c1e3a7232b446fa19ddfb1bf45",
    "cross_cats_sorted": [
      "math-ph",
      "math.IT",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-06-09T12:47:00Z",
    "title_canon_sha256": "6e6f71d9568a7a23cda1ca884b432fa17806bdbafa21fd0368740e4dabf671af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1791",
    "kind": "arxiv",
    "version": 3
  }
}