Pith Number

pith:ULKQPO7P

pith:2012:ULKQPO7PUQVQWZFVKR6FNIAQJ4

not attested not anchored not stored refs pending

Exact inhomogeneous models and the drift of light rays induced by nonsymmetric flow of the cosmic medium

Andrzej Krasi\'nski, Krzysztof Bolejko

arxiv:1212.4697 v3 · 2012-12-19 · 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{ULKQPO7PUQVQWZFVKR6FNIAQJ4}

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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

Physical geometry of the quasispherical Szekeres models

Receipt and verification

First computed	2026-05-18T01:52:30.452689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d507bbefa42b0b64b5547c56a0104f0b481edcc6ae47426eb9cc0e593c2402

Aliases

arxiv: 1212.4697 · arxiv_version: 1212.4697v3 · doi: 10.48550/arxiv.1212.4697 · pith_short_12: ULKQPO7PUQVQ · pith_short_16: ULKQPO7PUQVQWZFV · pith_short_8: ULKQPO7P

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/ULKQPO7PUQVQWZFVKR6FNIAQJ4 \
  | 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: a2d507bbefa42b0b64b5547c56a0104f0b481edcc6ae47426eb9cc0e593c2402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb3c454112da26f40726cf80456721c528797292ef3ee319c271c7a30adb6454",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-19T15:07:26Z",
    "title_canon_sha256": "48e4c5c20f1cbdbe6a99a7491362cfe5d19cfa04334ec053aef3edc10c727acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4697",
    "kind": "arxiv",
    "version": 3
  }
}