Pith Number

pith:ZHGZE4CL

pith:2009:ZHGZE4CLGMPFD2PSTCUFI6AK6N

not attested not anchored not stored refs pending

A measure on the set of compact Friedmann-Lemaitre-Robertson-Walker models

(2) Mathematics Department U.Strasbourg), Boudewijn F. Roukema (1), Vincent Blanloeil (2) ((1) Torun Centre for Astronomy UMK

arxiv:0912.2300 v3 · 2009-12-11 · astro-ph.CO · 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{ZHGZE4CLGMPFD2PSTCUFI6AK6N}

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	2026-05-18T02:24:45.781469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9cd92704b331e51e9f298a854780af37bc091061dae475e029cf51de366d1c2

Aliases

arxiv: 0912.2300 · arxiv_version: 0912.2300v3 · doi: 10.48550/arxiv.0912.2300 · pith_short_12: ZHGZE4CLGMPF · pith_short_16: ZHGZE4CLGMPFD2PS · pith_short_8: ZHGZE4CL

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/ZHGZE4CLGMPFD2PSTCUFI6AK6N \
  | 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: c9cd92704b331e51e9f298a854780af37bc091061dae475e029cf51de366d1c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40000eeeaaee3bd2b1dcf5cb396baf1bde7f94138971038bb0228e198c3db483",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-12-11T18:10:23Z",
    "title_canon_sha256": "f5af05e2e25fcfcc833f40f4bc661e876c8060d971fc3846f450a76aaef21c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2300",
    "kind": "arxiv",
    "version": 3
  }
}