Pith Number

pith:WJ3CUDWP

pith:1999:WJ3CUDWP2SIB4WVJMA7ESABSKT

not attested not anchored not stored refs pending

A dynamical systems approach to geodesics in Bianchi cosmologies

C. Uggla, J. Wainwright, Ulf S Nilsson

arxiv:gr-qc/9908062 v1 · 1999-08-24 · 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{WJ3CUDWP2SIB4WVJMA7ESABSKT}

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	2026-05-18T01:39:17.834169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2762a0ecfd4901e5aa9603e49003254edbed161e7e4e43bc581354a6fea375b

Aliases

arxiv: gr-qc/9908062 · arxiv_version: gr-qc/9908062v1 · doi: 10.48550/arxiv.gr-qc/9908062 · pith_short_12: WJ3CUDWP2SIB · pith_short_16: WJ3CUDWP2SIB4WVJ · pith_short_8: WJ3CUDWP

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/WJ3CUDWP2SIB4WVJMA7ESABSKT \
  | 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: b2762a0ecfd4901e5aa9603e49003254edbed161e7e4e43bc581354a6fea375b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b375be069ff9e24fbc6dffd00fbd4e8c7f98633547ae67d331fd081eee5aba97",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-08-24T20:04:44Z",
    "title_canon_sha256": "75d14bc157ac34151c72a8b48f00e2d5af9e0c546a6175db5e5be9621f20d20f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9908062",
    "kind": "arxiv",
    "version": 1
  }
}