Pith Number

pith:6LZ4KHB3

pith:2010:6LZ4KHB3CJJWOXBXMDBFGQ3T6Q

not attested not anchored not stored refs pending

A large class of non constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold

Anna Sakovich, Romain Gicquaud

arxiv:1012.2246 v2 · 2010-12-10 · gr-qc · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LZ4KHB3CJJWOXBXMDBFGQ3T6Q}

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	2026-05-18T02:04:30.613799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f3c51c3b1253675c3760c2534373f42bc9e59217151f8433a511f2912e4301

Aliases

arxiv: 1012.2246 · arxiv_version: 1012.2246v2 · doi: 10.48550/arxiv.1012.2246 · pith_short_12: 6LZ4KHB3CJJW · pith_short_16: 6LZ4KHB3CJJWOXBX · pith_short_8: 6LZ4KHB3

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/6LZ4KHB3CJJWOXBXMDBFGQ3T6Q \
  | 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: f2f3c51c3b1253675c3760c2534373f42bc9e59217151f8433a511f2912e4301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af1f3906c979e137859f7a375049552be33c501df8e882c2bfd7057b5dd7163",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-10T12:17:17Z",
    "title_canon_sha256": "4a2f16ca740e38f0d04335c56c1ac3ab17fc4ae4267e9cdb5aba576e8d098e24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2246",
    "kind": "arxiv",
    "version": 2
  }
}