Pith Number

pith:3QVL5EHQ

pith:2005:3QVL5EHQWPMGLIZ5BWUZF7LFNQ

not attested not anchored not stored refs pending

Rough Solutions of the Einstein Constraint Equations on Compact Manifolds

David Maxwell

arxiv:gr-qc/0506085 v1 · 2005-06-15 · 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{3QVL5EHQWPMGLIZ5BWUZF7LFNQ}

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	2026-05-18T04:23:46.909731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc2abe90f0b3d865a33d0da992fd656c0311fde1b96e07677c3b0c2ca93ee591

Aliases

arxiv: gr-qc/0506085 · arxiv_version: gr-qc/0506085v1 · doi: 10.48550/arxiv.gr-qc/0506085 · pith_short_12: 3QVL5EHQWPMG · pith_short_16: 3QVL5EHQWPMGLIZ5 · pith_short_8: 3QVL5EHQ

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/3QVL5EHQWPMGLIZ5BWUZF7LFNQ \
  | 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: dc2abe90f0b3d865a33d0da992fd656c0311fde1b96e07677c3b0c2ca93ee591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "031438e1e7708e8360a97f2a76cdfccafab05555328b493059823a892a1dd2f1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-06-15T20:42:03Z",
    "title_canon_sha256": "1bc943316d983cf5f93d9a095a3d95f47746cc9f2510ec46b6fbbfc8a6532b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0506085",
    "kind": "arxiv",
    "version": 1
  }
}