Pith Number

pith:3CLSDGHJ

pith:2000:3CLSDGHJQ5DMMIQWX5FZJCQG3B

not attested not anchored not stored refs pending

Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity

Alan D. Rendall

arxiv:gr-qc/0004044 v1 · 2000-04-14 · 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{3CLSDGHJQ5DMMIQWX5FZJCQG3B}

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	2026-05-18T01:06:48.095885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8972198e98746c62216bf4b948a06d87b2d5432de6698f6bf170713de740dc6

Aliases

arxiv: gr-qc/0004044 · arxiv_version: gr-qc/0004044v1 · doi: 10.48550/arxiv.gr-qc/0004044 · pith_short_12: 3CLSDGHJQ5DM · pith_short_16: 3CLSDGHJQ5DMMIQW · pith_short_8: 3CLSDGHJ

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/3CLSDGHJQ5DMMIQWX5FZJCQG3B \
  | 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: d8972198e98746c62216bf4b948a06d87b2d5432de6698f6bf170713de740dc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00bb92e7a85eca31ae1392761b5ba9fa603122ea3d817288abfc5e094ed36e92",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-04-14T08:57:23Z",
    "title_canon_sha256": "a73e4f4e478f0df839cc27da7e52b1e2d46da39a856f43277daae38b0a7ff793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0004044",
    "kind": "arxiv",
    "version": 1
  }
}