Pith Number

pith:PDS4UMBV

pith:2022:PDS4UMBVZXITTXAOZMR52FO2DJ

not attested not anchored not stored refs pending

R\'enyi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions

Mathias Braun

arxiv:2206.13005 v4 · 2022-06-27 · math-ph · math.DG · math.MG · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDS4UMBVZXITTXAOZMR52FO2DJ}

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.

Cited by

1 paper in Pith

Lorentzian metric spaces and GH-convergence: the unbounded case

Receipt and verification

First computed	2026-07-05T06:18:51.234790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78e5ca3035cdd139dc0ecb23dd15da1a689a266b70057a045b73a88b6cecb64c

Aliases

arxiv: 2206.13005 · arxiv_version: 2206.13005v4 · doi: 10.48550/arxiv.2206.13005 · pith_short_12: PDS4UMBVZXIT · pith_short_16: PDS4UMBVZXITTXAO · pith_short_8: PDS4UMBV

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/PDS4UMBVZXITTXAOZMR52FO2DJ \
  | 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: 78e5ca3035cdd139dc0ecb23dd15da1a689a266b70057a045b73a88b6cecb64c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "436a845a7e9d0b7a9c58b265ffc0cbf082f42b60c45f7e1a182965aad9a9c0ad",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-06-27T01:07:23Z",
    "title_canon_sha256": "d7ee8a14c9f6b1748d065bb6a1679a1d653f48443ab4c4535a321ba3bb48d876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.13005",
    "kind": "arxiv",
    "version": 4
  }
}