Pith Number

pith:54EZ7NT6

pith:2024:54EZ7NT6CXK3MUMOM6KPTII7AP

not attested not anchored not stored refs pending

End equilibrium state of a spherical gravitational collapse in the presence of matter and scalar field

Debanjan Debnath, Dipanjan Dey, Kaushik Bhattacharya

arxiv:2409.01110 v2 · 2024-09-02 · 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{54EZ7NT6CXK3MUMOM6KPTII7AP}

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	2026-07-05T10:10:27.750347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef099fb67e15d5b6518e6794f9a11f03e060aee183ae259b46fb8b5947fd924b

Aliases

arxiv: 2409.01110 · arxiv_version: 2409.01110v2 · doi: 10.48550/arxiv.2409.01110 · pith_short_12: 54EZ7NT6CXK3 · pith_short_16: 54EZ7NT6CXK3MUMO · pith_short_8: 54EZ7NT6

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/54EZ7NT6CXK3MUMOM6KPTII7AP \
  | 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: ef099fb67e15d5b6518e6794f9a11f03e060aee183ae259b46fb8b5947fd924b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37139db6fc614087c3378eabfd0cfd3a387173efb304199e6f1ff660cb1e5786",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-09-02T09:38:47Z",
    "title_canon_sha256": "85c520773a4322152ac7afa1aad2cc59c8bcf99c2ea36c1be3040cc5e23ba61a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.01110",
    "kind": "arxiv",
    "version": 2
  }
}