Pith Number

pith:PHR6QM7M

pith:2015:PHR6QM7MAFUOO3PEQF66QBWTWY

not attested not anchored not stored refs pending

Entropy, majorization and thermodynamics in general probabilistic theories

Howard Barnum (University of New Mexico), Jonathan Barrett (University of Oxford), Marius Krumm (University of Heidelberg, Markus P. M\"uller (University of Heidelberg, Perimeter Institute for Theoretical Physics), University of Western Ontario, University of Western Ontario)

arxiv:1508.03107 v2 · 2015-08-13 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHR6QM7MAFUOO3PEQF66QBWTWY}

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	2026-05-18T01:27:45.725304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e3e833ec0168e76de4817de806d3b6372f45d594adce93cbc91f8b937da73d

Aliases

arxiv: 1508.03107 · arxiv_version: 1508.03107v2 · doi: 10.48550/arxiv.1508.03107 · pith_short_12: PHR6QM7MAFUO · pith_short_16: PHR6QM7MAFUOO3PE · pith_short_8: PHR6QM7M

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PHR6QM7MAFUOO3PEQF66QBWTWY \
  | 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: 79e3e833ec0168e76de4817de806d3b6372f45d594adce93cbc91f8b937da73d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c20564822d6c5b779d14f3c8fd3bd32c2dca3cb0704dc4bdfe135b9279a02fb6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-08-13T02:53:54Z",
    "title_canon_sha256": "1bf159b58c505a2618c67af4bc88dcab34c2c73f58081307e64691616deb4c0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03107",
    "kind": "arxiv",
    "version": 2
  }
}