Pith Number

pith:GCD4JMWA

pith:2020:GCD4JMWAK52LKOF2IUHMNDNGXU

not attested not anchored not stored refs pending

Barrow black hole corrected-entropy model and Tsallis nonextensivity

Everton M. C. Abreu, Jorge Ananias Neto

arxiv:2009.10133 v1 · 2020-09-21 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCD4JMWAK52LKOF2IUHMNDNGXU}

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	2026-07-05T01:47:06.893022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3087c4b2c05774b538ba450ec68da6bd22874590a9f21b22928148a62724a8bb

Aliases

arxiv: 2009.10133 · arxiv_version: 2009.10133v1 · doi: 10.48550/arxiv.2009.10133 · pith_short_12: GCD4JMWAK52L · pith_short_16: GCD4JMWAK52LKOF2 · pith_short_8: GCD4JMWA

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/GCD4JMWAK52LKOF2IUHMNDNGXU \
  | 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: 3087c4b2c05774b538ba450ec68da6bd22874590a9f21b22928148a62724a8bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "002cefc5a20cb82ea38c738259c2a4bece43f2b673c3dc99ff0834c44ec4bcc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-09-21T18:54:44Z",
    "title_canon_sha256": "708e562d728bf7fd4a8cfc6e3ad7f3370fd75b525937fada424ed8b3a43b6d6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.10133",
    "kind": "arxiv",
    "version": 1
  }
}