Pith Number

pith:G4EUPP4B

pith:2005:G4EUPP4BWQV42QMMVJA6KSB4ES

not attested not anchored not stored refs pending

Theorems on existence and global dynamics for the Einstein equations

Alan D. Rendall

arxiv:gr-qc/0505133 v1 · 2005-05-26 · 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{G4EUPP4BWQV42QMMVJA6KSB4ES}

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	2026-05-18T01:39:20.569486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370947bf81b42bcd418caa41e5483c24a20be2355087ea9a84c7d919229eb920

Aliases

arxiv: gr-qc/0505133 · arxiv_version: gr-qc/0505133v1 · doi: 10.48550/arxiv.gr-qc/0505133 · pith_short_12: G4EUPP4BWQV4 · pith_short_16: G4EUPP4BWQV42QMM · pith_short_8: G4EUPP4B

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/G4EUPP4BWQV42QMMVJA6KSB4ES \
  | 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: 370947bf81b42bcd418caa41e5483c24a20be2355087ea9a84c7d919229eb920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb33d3b1a986006b49f332ab36e8153e82bb91100c9b28f070d770d98a06f464",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-05-26T09:42:26Z",
    "title_canon_sha256": "a001c1d52f055d5a6b7dc6b0bc48dd18c381ca36713aed430f5b712968436dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0505133",
    "kind": "arxiv",
    "version": 1
  }
}