Pith Number

pith:Y5BTRG2G

pith:2001:Y5BTRG2GRMLPXURZRWI2P5VJE5

not attested not anchored not stored refs pending

Dynamics of gravitational clustering III. The quasi-linear regime for some non-Gaussian initial conditions

P. Valageas (SPhT, Saclay)

arxiv:astro-ph/0107196 v2 · 2001-07-11 · 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{Y5BTRG2GRMLPXURZRWI2P5VJE5}

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	2026-07-04T16:23:41.500089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c743389b468b16fbd2398d91a7f6a927565fd2a829247e7fe2b9728ebc26f96f

Aliases

arxiv: astro-ph/0107196 · arxiv_version: astro-ph/0107196v2 · doi: 10.48550/arxiv.astro-ph/0107196 · pith_short_12: Y5BTRG2GRMLP · pith_short_16: Y5BTRG2GRMLPXURZ · pith_short_8: Y5BTRG2G

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/Y5BTRG2GRMLPXURZRWI2P5VJE5 \
  | 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: c743389b468b16fbd2398d91a7f6a927565fd2a829247e7fe2b9728ebc26f96f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf78b31dc9d4fab9bbfc3b4cf6a4eb8c095f029d78556245ddf323e469d9d118",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-07-11T12:54:12Z",
    "title_canon_sha256": "c1957d247e650559e0861f7172e7c8104908b6d3b895bd2015c81c6ede9de851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0107196",
    "kind": "arxiv",
    "version": 2
  }
}