Pith Number

pith:OBTORD4R

pith:2005:OBTORD4RPXNMSOOLOKSBZZFRMC

not attested not anchored not stored refs pending

Radiation in the process of the formation of voids

Krzysztof Bolejko

arxiv:astro-ph/0503356 v2 · 2005-03-16 · astro-ph · 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{OBTORD4RPXNMSOOLOKSBZZFRMC}

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.

Cited by

1 paper in Pith

Light path averages in spacetimes with non-vanishing average spatial curvature

Receipt and verification

First computed	2026-07-04T16:51:00.865591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7066e88f917ddac939cb72a41ce4b160804386eec406ae4f515c0e0f168432c4

Aliases

arxiv: astro-ph/0503356 · arxiv_version: astro-ph/0503356v2 · doi: 10.48550/arxiv.astro-ph/0503356 · pith_short_12: OBTORD4RPXNM · pith_short_16: OBTORD4RPXNMSOOL · pith_short_8: OBTORD4R

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/OBTORD4RPXNMSOOLOKSBZZFRMC \
  | 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: 7066e88f917ddac939cb72a41ce4b160804386eec406ae4f515c0e0f168432c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b236069c1321564154606c8ef73ec1a6dd7b66385789282266c91fd934675433",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-03-16T17:26:41Z",
    "title_canon_sha256": "27008fd2fea1006ba33cd7ea0be078b8500ac81b9b1bb56970e6d29642a4d415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0503356",
    "kind": "arxiv",
    "version": 2
  }
}