Pith Number

pith:XWIQYJK4

pith:2004:XWIQYJK4PDKLQI4ATTQH5IIF73

not attested not anchored not stored refs pending

Cosmological models from a dynamical systems perspective

J. Wainwright, W. C. Lim

arxiv:gr-qc/0409082 v1 · 2004-09-21 · 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{XWIQYJK4PDKLQI4ATTQH5IIF73}

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	2026-05-18T01:02:14.615172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd910c255c78d4b823809ce07ea105fefea8c27527d6081b421b2131d86c8d9c

Aliases

arxiv: gr-qc/0409082 · arxiv_version: gr-qc/0409082v1 · doi: 10.48550/arxiv.gr-qc/0409082 · pith_short_12: XWIQYJK4PDKL · pith_short_16: XWIQYJK4PDKLQI4A · pith_short_8: XWIQYJK4

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/XWIQYJK4PDKLQI4ATTQH5IIF73 \
  | 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: bd910c255c78d4b823809ce07ea105fefea8c27527d6081b421b2131d86c8d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e897454c27cd3b958960259b3c2a77f463d2ec12210a552e38b8e352e71eae99",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-09-21T17:03:20Z",
    "title_canon_sha256": "782dfc5275d8fc486f8e685ac94de94f419a185fafeba2516ed0363498111ae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0409082",
    "kind": "arxiv",
    "version": 1
  }
}