Pith Number

pith:WP62XLU5

pith:2000:WP62XLU5YGN5KLBVCFTTQYZQEP

not attested not anchored not stored refs pending

Local and global existence theorems for the Einstein equations

Alan D. Rendall

arxiv:gr-qc/0001008 v1 · 2000-01-05 · 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{WP62XLU5YGN5KLBVCFTTQYZQEP}

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	2026-05-18T01:01:58.436313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3fdabae9dc19bd52c35116738633023f44d9f82eee217ff32e6b282b72cce02

Aliases

arxiv: gr-qc/0001008 · arxiv_version: gr-qc/0001008v1 · doi: 10.48550/arxiv.gr-qc/0001008 · pith_short_12: WP62XLU5YGN5 · pith_short_16: WP62XLU5YGN5KLBV · pith_short_8: WP62XLU5

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/WP62XLU5YGN5KLBVCFTTQYZQEP \
  | 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: b3fdabae9dc19bd52c35116738633023f44d9f82eee217ff32e6b282b72cce02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d5140b52ad91bb3e2ecd6d77a7c556875200f70a02d8da4a74625ddc100631",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-01-05T13:05:44Z",
    "title_canon_sha256": "ec3678b10a4eea1a327ad67fc1759b5b329f83849334d26e0ea1cd0ddd31184f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0001008",
    "kind": "arxiv",
    "version": 1
  }
}