Pith Number

pith:IA7LHEHC

pith:2010:IA7LHEHCYLS5AIGL2G4RGMVQC4

not attested not anchored not stored refs pending

Null Asymptotics of Solutions of the Einstein-Maxwell Equations in General Relativity and Gravitational Radiation

Lydia Bieri, PoNing Chen, Shing-Tung Yau

arxiv:1011.2267 v2 · 2010-11-10 · math.DG · 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{IA7LHEHCYLS5AIGL2G4RGMVQC4}

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	2026-05-18T04:33:26.683837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

403eb390e2c2e5d020cbd1b91332b0173986b09bad9bc877fab6e19df68d5795

Aliases

arxiv: 1011.2267 · arxiv_version: 1011.2267v2 · doi: 10.48550/arxiv.1011.2267 · pith_short_12: IA7LHEHCYLS5 · pith_short_16: IA7LHEHCYLS5AIGL · pith_short_8: IA7LHEHC

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/IA7LHEHCYLS5AIGL2G4RGMVQC4 \
  | 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: 403eb390e2c2e5d020cbd1b91332b0173986b09bad9bc877fab6e19df68d5795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa102c5578ba5d4fcdcea8d8560477f8d50450138ea20a360ad748b197c15c65",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-10T03:10:26Z",
    "title_canon_sha256": "d0e6aa19b036788dd41740a8a43bb33a2b63ccb099a7aa12dbeafa244a094d6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2267",
    "kind": "arxiv",
    "version": 2
  }
}