Pith Number

pith:KFXVALSF

pith:2021:KFXVALSFDMNWXBFGLJDT3JDFSU

not attested not anchored not stored refs pending

Understanding the Dyer-Roeder approximation as a consequence of local cancellations of projected shear and expansion rate fluctuations

S. M. Koksbang

arxiv:2106.12913 v1 · 2021-06-23 · astro-ph.CO · 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{KFXVALSFDMNWXBFGLJDT3JDFSU}

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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

A First Observational Assessment of Cosmic Backreaction Over an Extended Redshift Range

Receipt and verification

First computed	2026-07-05T03:03:28.952340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

516f502e451b1b6b84a65a473da465952326adc800014d83efac2fbb0be8eceb

Aliases

arxiv: 2106.12913 · arxiv_version: 2106.12913v1 · doi: 10.48550/arxiv.2106.12913 · pith_short_12: KFXVALSFDMNW · pith_short_16: KFXVALSFDMNWXBFG · pith_short_8: KFXVALSF

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/KFXVALSFDMNWXBFGLJDT3JDFSU \
  | 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: 516f502e451b1b6b84a65a473da465952326adc800014d83efac2fbb0be8eceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330926eb8077e3a2e55ea395cc8dbfcaa2ae37f6fa5c75c186187f32bfa42b68",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-06-23T06:59:31Z",
    "title_canon_sha256": "e3742c890f8423296a9874d6a68870f90d403b135fe7f3475a3635abbd65b177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.12913",
    "kind": "arxiv",
    "version": 1
  }
}