Pith Number

pith:2ASEGTRA

pith:1998:2ASEGTRAV3LSJAXAWBNLALWV6R

not attested not anchored not stored refs pending

Monotone Riemannian Metrics and Relative Entropy on Non-Commutative Probability Spaces

Andrew Lesniewski, Mary Beth Ruskai

arxiv:math-ph/9808016 v1 · 1998-08-30 · math-ph · math.MP · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ASEGTRAV3LSJAXAWBNLALWV6R}

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	2026-05-18T01:38:30.731712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d024434e20aed72482e0b05ab02ed5f456e28cc341a8d3f9545148a065813257

Aliases

arxiv: math-ph/9808016 · arxiv_version: math-ph/9808016v1 · doi: 10.48550/arxiv.math-ph/9808016 · pith_short_12: 2ASEGTRAV3LS · pith_short_16: 2ASEGTRAV3LSJAXA · pith_short_8: 2ASEGTRA

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/2ASEGTRAV3LSJAXAWBNLALWV6R \
  | 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: d024434e20aed72482e0b05ab02ed5f456e28cc341a8d3f9545148a065813257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de6aaaf8ec5dafe98126a634b21ae3e5a94c438fab2dcd985ee280600bc093e0",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-08-30T15:12:04Z",
    "title_canon_sha256": "8307a7359b3a6d380b9c251476a51f9aeab402dd2716c638a733e6550969b079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9808016",
    "kind": "arxiv",
    "version": 1
  }
}