Pith Number

pith:7D6SMI55

pith:1996:7D6SMI55HGFSPWB5OPFUV4CYSL

not attested not anchored not stored refs pending

On Determining the Topology of the Observable Universe via 3-D Quasar Positions

B.F.Roukema (Institut d'Astrophysique de Paris, Brighton, CNRS, France; University of Sussex Astronomy Centre, United Kingdom)

arxiv:astro-ph/9603052 v1 · 1996-03-12 · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7D6SMI55HGFSPWB5OPFUV4CYSL}

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

Gravitational waves and cosmic boundary

Receipt and verification

First computed	2026-05-18T01:40:21.629017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8fd2623bd398b27d83d73cb4af05892e59a3f7a472e8388c0d44ccfa6acc010

Aliases

arxiv: astro-ph/9603052 · arxiv_version: astro-ph/9603052v1 · doi: 10.48550/arxiv.astro-ph/9603052 · pith_short_12: 7D6SMI55HGFS · pith_short_16: 7D6SMI55HGFSPWB5 · pith_short_8: 7D6SMI55

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/7D6SMI55HGFSPWB5OPFUV4CYSL \
  | 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: f8fd2623bd398b27d83d73cb4af05892e59a3f7a472e8388c0d44ccfa6acc010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1407b26efe435c587af79de173fd063521bfe5dd22b9051b8837c4391cfc7600",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-03-12T21:51:39Z",
    "title_canon_sha256": "40f299f6233e87142e08c62604216952ca4ab60451e60978915b0576cf123fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9603052",
    "kind": "arxiv",
    "version": 1
  }
}