Pith Number

pith:WVJ5ZFYO

pith:2010:WVJ5ZFYOGZIFSMAD2QGRRNX5I3

not attested not anchored not stored refs pending

Redshift propagation equations in the $\beta' \neq 0$ Szekeres models

Andrzej Krasi\'nski, Krzysztof Bolejko

arxiv:1007.2083 v2 · 2010-07-13 · 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{WVJ5ZFYOGZIFSMAD2QGRRNX5I3}

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

2 papers in Pith

Direct detection of the cosmic expansion: the redshift drift and the flux drift

CMB dipoles and other low-order multipoles in the quasispherical Szekeres model

Receipt and verification

First computed	2026-05-18T04:23:46.318085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b553dc970e3650593003d40d18b6fd46d4e45824717767a86d1868aef20c43f9

Aliases

arxiv: 1007.2083 · arxiv_version: 1007.2083v2 · doi: 10.48550/arxiv.1007.2083 · pith_short_12: WVJ5ZFYOGZIF · pith_short_16: WVJ5ZFYOGZIFSMAD · pith_short_8: WVJ5ZFYO

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/WVJ5ZFYOGZIFSMAD2QGRRNX5I3 \
  | 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: b553dc970e3650593003d40d18b6fd46d4e45824717767a86d1868aef20c43f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "399ed93cbf6bd1374f60b706d8330aec4b1140994927827a2d05558b36ae7aa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-07-13T12:20:32Z",
    "title_canon_sha256": "49c2022c543f9296fc6974b3d36b4c7ad80a9afc928717f3f7a8223db56437da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2083",
    "kind": "arxiv",
    "version": 2
  }
}