Pith Number

pith:ZEWG7IAJ

pith:2010:ZEWG7IAJAIIZLUUVHUCEFOB3VR

not attested not anchored not stored refs pending

An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data

Jos\'e M. Mart\'in-Garc\'ia, Piotr T. Chru\'sciel, Yvonne Choquet-Bruhat

arxiv:1012.0777 v1 · 2010-12-03 · 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{ZEWG7IAJAIIZLUUVHUCEFOB3VR}

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	2026-05-18T04:34:09.497870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c92c6fa009021195d2953d0442b83bac7d2dd928c3299a38301cc00a322d1f51

Aliases

arxiv: 1012.0777 · arxiv_version: 1012.0777v1 · doi: 10.48550/arxiv.1012.0777 · pith_short_12: ZEWG7IAJAIIZ · pith_short_16: ZEWG7IAJAIIZLUUV · pith_short_8: ZEWG7IAJ

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/ZEWG7IAJAIIZLUUVHUCEFOB3VR \
  | 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: c92c6fa009021195d2953d0442b83bac7d2dd928c3299a38301cc00a322d1f51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e61dce1d8dbd3d85b83507c2601b0d9ab08078c910c72a2087b8b321f22cc30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-03T16:16:24Z",
    "title_canon_sha256": "5e585be5c1249ecf2a6c0856ae9fc83996b89b4b11a7eb5cbbe65d66fb8a0a97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0777",
    "kind": "arxiv",
    "version": 1
  }
}