Pith Number

pith:VGPFU2IA

pith:2002:VGPFU2IATT7CBW7OTKSU5CTT3W

not attested not anchored not stored refs pending

The Wave Mechanics of Large-scale Structure

Peter Coles (University of Nottingham, UK)

arxiv:astro-ph/0209576 v1 · 2002-09-27 · 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{VGPFU2IATT7CBW7OTKSU5CTT3W}

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

A First Post-Friedmann Extension of the Schr\"odinger Approach to Cosmic Structure Formation

Receipt and verification

First computed	2026-07-04T14:12:15.703157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99e5a69009cfe20dbee9aa54e8a73dd9578a2f0641ef3c81919805614c5f9b1

Aliases

arxiv: astro-ph/0209576 · arxiv_version: astro-ph/0209576v1 · doi: 10.48550/arxiv.astro-ph/0209576 · pith_short_12: VGPFU2IATT7C · pith_short_16: VGPFU2IATT7CBW7O · pith_short_8: VGPFU2IA

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/VGPFU2IATT7CBW7OTKSU5CTT3W \
  | 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: a99e5a69009cfe20dbee9aa54e8a73dd9578a2f0641ef3c81919805614c5f9b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49ed3502014351e0d939557709144d9955976688c42e080f7f6070219d05622d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-09-27T10:52:10Z",
    "title_canon_sha256": "6a8d677a70bf0113494aa68a30600b847b788f5c0d3e907eebc453ddbadeecb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0209576",
    "kind": "arxiv",
    "version": 1
  }
}