Pith Number

pith:YHR3F7SU

pith:2020:YHR3F7SUWJSE7JVQQMW4WMXMGZ

not attested not anchored not stored refs pending

The Area of a Rough Black Hole

John D. Barrow

arxiv:2004.09444 v4 · 2020-04-20 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHR3F7SUWJSE7JVQQMW4WMXMGZ}

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

17 papers in Pith

Modified Cosmology from Mass-to-Horizon Relation: Background Evolution

Hamilton-Jacobi Approach to Inflationary Scenarios through Extended Entropies: An Observational Perspective

Modified Entropy from Action Principle

Observational constraints on Luciano-Saridakis entropic cosmology

Constraints on Kaniadakis Cosmology from Starobinsky Inflation and Primordial Tensor Perturbations

Receipt and verification

First computed	2026-07-05T01:24:51.469571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1e3b2fe54b2644fa6b0832dcb32ec367ef22086269c7331dfd44d04cf3e0747

Aliases

arxiv: 2004.09444 · arxiv_version: 2004.09444v4 · doi: 10.48550/arxiv.2004.09444 · pith_short_12: YHR3F7SUWJSE · pith_short_16: YHR3F7SUWJSE7JVQ · pith_short_8: YHR3F7SU

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/YHR3F7SUWJSE7JVQQMW4WMXMGZ \
  | 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: c1e3b2fe54b2644fa6b0832dcb32ec367ef22086269c7331dfd44d04cf3e0747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d6d52e91da1b09fe4e1332ced04d6acf4bdd6f75f687b5661ff7665c09d7a3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-04-20T16:56:24Z",
    "title_canon_sha256": "ddbb4b9942d47226959b034bab172b352867964c11cb34c135e00347c8892175"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.09444",
    "kind": "arxiv",
    "version": 4
  }
}