Pith Number

pith:53F3E6XG

pith:2026:53F3E6XGFJIMQ6FF7KUMBWTQ6N

not attested not anchored not stored refs pending

How greedy is the Universe? An entropy ledger and a causal envelope for early black hole growth

Cristian Quinzacara, Fernando Izaurieta, Omar Valdivia

arxiv:2608.00297 v1 · 2026-07-31 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53F3E6XGFJIMQ6FF7KUMBWTQ6N}

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	2026-08-04T00:34:57.416048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eecbb27ae62a50c878a5faa8c0da70f35537c0a2c3d94292034be8f48c9ba4f5

Aliases

arxiv: 2608.00297 · arxiv_version: 2608.00297v1 · doi: 10.48550/arxiv.2608.00297 · pith_short_12: 53F3E6XGFJIM · pith_short_16: 53F3E6XGFJIMQ6FF · pith_short_8: 53F3E6XG

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/53F3E6XGFJIMQ6FF7KUMBWTQ6N \
  | 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: eecbb27ae62a50c878a5faa8c0da70f35537c0a2c3d94292034be8f48c9ba4f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80fbd5770504f9730cf19d2dd2232cc8be4d8bc5f1f8e743b36cee09bfa99e81",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-31T21:12:08Z",
    "title_canon_sha256": "6df7ea5f1bbc4e281fee4322ac3bb4a4c956665d335580bf70be34d5093774e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00297",
    "kind": "arxiv",
    "version": 1
  }
}