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Pith Number

pith:I4PJFZ6E

pith:2003:I4PJFZ6EUNTKLRZ2EX767O4FMG
not attested not anchored not stored refs pending

A hierarchy of voids: Much ado about nothing

Ravi K. Sheth (Pitt), Rien van de Weygaert (Kapteyn)

arxiv:astro-ph/0311260 v1 · 2003-11-11 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{I4PJFZ6EUNTKLRZ2EX767O4FMG}

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

3 papers in Pith

Receipt and verification
First computed 2026-07-04T15:32:04.119980Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

471e92e7c4a366a5c73a25ffefbb8561920b4248c23fb4f4903432ad27416d34

Aliases

arxiv: astro-ph/0311260 · arxiv_version: astro-ph/0311260v1 · doi: 10.48550/arxiv.astro-ph/0311260 · pith_short_12: I4PJFZ6EUNTK · pith_short_16: I4PJFZ6EUNTKLRZ2 · pith_short_8: I4PJFZ6E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/I4PJFZ6EUNTKLRZ2EX767O4FMG \
  | 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: 471e92e7c4a366a5c73a25ffefbb8561920b4248c23fb4f4903432ad27416d34
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eb64b15f5a17e84789cf36efefa957a91b2d3d18b4789a6cb13d9931ba82e82e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-11-11T21:05:13Z",
    "title_canon_sha256": "4c1047212c1492c90bb552e057af975450621d3323d79e8b450cb1fbd5f60b77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0311260",
    "kind": "arxiv",
    "version": 1
  }
}