Pith Number

pith:RT72WF2J

pith:2008:RT72WF2JVEX5BQ44UTIK4MB6VO

not attested not anchored not stored refs pending

On the dangers of using the growth equation on large scales in the Newtonian gauge

James B. Dent, Sourish Dutta

arxiv:0808.2689 v4 · 2008-08-20 · astro-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RT72WF2JVEX5BQ44UTIK4MB6VO}

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

$\Lambda$CDM-like models with future singularities

Receipt and verification

First computed	2026-07-04T17:12:24.835298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cffab1749a92fd0c39ca4d0ae303eab869746bb6d1fd84c91c14143021ad234

Aliases

arxiv: 0808.2689 · arxiv_version: 0808.2689v4 · doi: 10.48550/arxiv.0808.2689 · pith_short_12: RT72WF2JVEX5 · pith_short_16: RT72WF2JVEX5BQ44 · pith_short_8: RT72WF2J

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/RT72WF2JVEX5BQ44UTIK4MB6VO \
  | 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: 8cffab1749a92fd0c39ca4d0ae303eab869746bb6d1fd84c91c14143021ad234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de5cb0b6ffba03a026b23456e167e1cc385570e1eb25c1549f3ac9dac83fd584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-08-20T04:37:15Z",
    "title_canon_sha256": "a1415fc743735634467b5d1a7add1be5222b67e9432903ab5b92db755a9e430e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2689",
    "kind": "arxiv",
    "version": 4
  }
}