Pith Number

pith:S4M33TX3

pith:2026:S4M33TX33VK2R35TZCE4ENPL63

not attested not anchored not stored refs pending

An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole

Jorge Ovalle, Sinya Aoki

arxiv:2607.08088 v1 · 2026-07-09 · 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{S4M33TX33VK2R35TZCE4ENPL63}

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	2026-07-10T01:19:25.593292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9719bdcefbdd55a8efb3c889c235ebf6f13e3e2e5f152a16b61a48bf14c3f06d

Aliases

arxiv: 2607.08088 · arxiv_version: 2607.08088v1 · doi: 10.48550/arxiv.2607.08088 · pith_short_12: S4M33TX33VK2 · pith_short_16: S4M33TX33VK2R35T · pith_short_8: S4M33TX3

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/S4M33TX33VK2R35TZCE4ENPL63 \
  | 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: 9719bdcefbdd55a8efb3c889c235ebf6f13e3e2e5f152a16b61a48bf14c3f06d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd198b145b23b7c48f6d0d2a40b9db368e39b160741175cff3aff53c319ad47b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-09T03:49:18Z",
    "title_canon_sha256": "53063db711a12835666a95f37c52582eecf68037b7bf5cc8bb2cb0f838cf48be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08088",
    "kind": "arxiv",
    "version": 1
  }
}