Pith Number

pith:7WCEYDYD

pith:2009:7WCEYDYDP3LL2CY6V5ODFDKVMK

not attested not anchored not stored refs pending

Stochastic contribution to the growth factor in the LCDM model

A.L.B. Ribeiro, A.P.A. Andrade, P.S. Letelier

arxiv:0902.3272 v1 · 2009-02-18 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WCEYDYDP3LL2CY6V5ODFDKVMK}

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.

Receipt and verification

First computed	2026-05-18T04:35:05.467764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd844c0f037ed6bd0b1eaf5c328d55629300fcba9fc795740d2864fbf025efb1

Aliases

arxiv: 0902.3272 · arxiv_version: 0902.3272v1 · doi: 10.48550/arxiv.0902.3272 · pith_short_12: 7WCEYDYDP3LL · pith_short_16: 7WCEYDYDP3LL2CY6 · pith_short_8: 7WCEYDYD

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/7WCEYDYDP3LL2CY6V5ODFDKVMK \
  | 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: fd844c0f037ed6bd0b1eaf5c328d55629300fcba9fc795740d2864fbf025efb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815e32dc66c33111cf21dc8e19dd73af8d12e3330b0faef0c957b9eb334812bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-02-18T23:33:38Z",
    "title_canon_sha256": "efe7dc1cd44e95de8a804d26160435c3a911eb090acad3f2b2070a71060f0a92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3272",
    "kind": "arxiv",
    "version": 1
  }
}