Pith Number

pith:EXAP4BXK

pith:2010:EXAP4BXKQ4BWCODRRSNYEKCM2B

not attested not anchored not stored refs pending

The Cauchy problem on a characteristic cone for the Einstein equations in arbitrary dimensions

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

arxiv:1006.4467 v1 · 2010-06-23 · 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{EXAP4BXKQ4BWCODRRSNYEKCM2B}

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	2026-05-18T04:18:23.503653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c0fe06ea87036138718c9b82284cd0524fa04b7cb9bc1877da81de53d7b713

Aliases

arxiv: 1006.4467 · arxiv_version: 1006.4467v1 · doi: 10.48550/arxiv.1006.4467 · pith_short_12: EXAP4BXKQ4BW · pith_short_16: EXAP4BXKQ4BWCODR · pith_short_8: EXAP4BXK

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/EXAP4BXKQ4BWCODRRSNYEKCM2B \
  | 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: 25c0fe06ea87036138718c9b82284cd0524fa04b7cb9bc1877da81de53d7b713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9090d88a948f36372cbb9edd04ea9012f379353cf76d6e557e7f006763bc53cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-23T10:35:08Z",
    "title_canon_sha256": "f6e1342c51bdb4554b2cefb3447d056d07fd553877164027eb8cefcbcc1ed383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4467",
    "kind": "arxiv",
    "version": 1
  }
}