Pith Number

pith:BIHZX7VO

pith:2025:BIHZX7VOXSKTJ5MT7EW5SZMWZH

not attested not anchored not stored refs pending

Gravitational collapse in the expanding Universe

Nikodem Pop{\l}awski

arxiv:2501.06631 v1 · 2025-01-11 · gr-qc · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIHZX7VOXSKTJ5MT7EW5SZMWZH}

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	2026-07-05T10:01:56.379145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a0f9bfeaebc9534f593f92dd96596c9f50a6724e3452f48971eb4c17c622c8c

Aliases

arxiv: 2501.06631 · arxiv_version: 2501.06631v1 · doi: 10.48550/arxiv.2501.06631 · pith_short_12: BIHZX7VOXSKT · pith_short_16: BIHZX7VOXSKTJ5MT · pith_short_8: BIHZX7VO

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/BIHZX7VOXSKTJ5MT7EW5SZMWZH \
  | 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: 0a0f9bfeaebc9534f593f92dd96596c9f50a6724e3452f48971eb4c17c622c8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "121d70ce3a175b704019bd9981bef845b97c2e52cd3ea92b0e388219b5d524db",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-01-11T20:27:31Z",
    "title_canon_sha256": "07adfdc94742d794cdef2d9e3f4b7802dbd1e2934ef7a8d702a6496808606979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06631",
    "kind": "arxiv",
    "version": 1
  }
}