Pith Number

pith:VELE3YCQ

pith:1995:VELE3YCQQBUDBR3Z7WBP4X6VOW

not attested not anchored not stored refs pending

The Cluster Abundance in Flat and Open Cosmologies

Andrew R Liddle, Pedro T P Viana

arxiv:astro-ph/9511007 v3 · 1995-11-01 · 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{VELE3YCQQBUDBR3Z7WBP4X6VOW}

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	2026-05-18T01:40:22.437847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9164de050806830c779fd82fe5fd575a05da6d79afe10d3db05e530cab9a3e1

Aliases

arxiv: astro-ph/9511007 · arxiv_version: astro-ph/9511007v3 · doi: 10.48550/arxiv.astro-ph/9511007 · pith_short_12: VELE3YCQQBUD · pith_short_16: VELE3YCQQBUDBR3Z · pith_short_8: VELE3YCQ

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/VELE3YCQQBUDBR3Z7WBP4X6VOW \
  | 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: a9164de050806830c779fd82fe5fd575a05da6d79afe10d3db05e530cab9a3e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ae0089d8adc43b7a9f83bef141fb5eb9294c45d1f80b6ce7992eb79e9a6c37",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1995-11-01T15:36:59Z",
    "title_canon_sha256": "40a27045f7a938883b71747fc9d475d17bb7a28a60a37b11dabde057b3c9e8aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9511007",
    "kind": "arxiv",
    "version": 3
  }
}