Pith Number

pith:52Z5TLUZ

pith:2007:52Z5TLUZPJU7MZU5QGQNEX27OO

not attested not anchored not stored refs pending

A sub-horizon framework for probing the relationship between the cosmological matter distribution and metric perturbations

Mustafa A. Amin, Robert V. Wagoner, Roger D. Blandford

arxiv:0708.1793 v3 · 2007-08-14 · 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{52Z5TLUZPJU7MZU5QGQNEX27OO}

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

Modified Gravity and Cosmology

Receipt and verification

First computed	2026-07-04T15:15:26.728665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeb3d9ae997a69f6669d81a0d25f5f738557a9fa760d4d5b1fd61b23e0c7598c

Aliases

arxiv: 0708.1793 · arxiv_version: 0708.1793v3 · doi: 10.48550/arxiv.0708.1793 · pith_short_12: 52Z5TLUZPJU7 · pith_short_16: 52Z5TLUZPJU7MZU5 · pith_short_8: 52Z5TLUZ

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/52Z5TLUZPJU7MZU5QGQNEX27OO \
  | 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: eeb3d9ae997a69f6669d81a0d25f5f738557a9fa760d4d5b1fd61b23e0c7598c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbbb2a79974d3d469121b542711404007479a40f6564932f1a0c02e33b6778fb",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-08-14T17:20:57Z",
    "title_canon_sha256": "f7a3a3dab4b0b993acce59caf18fb4ef6708169e3fea3a594a84949b8bdaecc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1793",
    "kind": "arxiv",
    "version": 3
  }
}