Pith Number

pith:K7OJJS5U

pith:2013:K7OJJS5UEWYK6LMELQXX7B6YSH

not attested not anchored not stored refs pending

Non-CMC Solutions of the Einstein Constraint Equations on Compact Manifolds with Apparent Horizon Boundaries

C. Meier, G. Tsogtgerel, M. Holst

arxiv:1310.2302 v2 · 2013-10-08 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7OJJS5UEWYK6LMELQXX7B6YSH}

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	2026-05-18T03:09:47.424249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57dc94cbb425b0af2d845c2f7f87d891e1abd9494ae2f51e7504cb74ac8ee793

Aliases

arxiv: 1310.2302 · arxiv_version: 1310.2302v2 · doi: 10.48550/arxiv.1310.2302 · pith_short_12: K7OJJS5UEWYK · pith_short_16: K7OJJS5UEWYK6LME · pith_short_8: K7OJJS5U

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/K7OJJS5UEWYK6LMELQXX7B6YSH \
  | 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: 57dc94cbb425b0af2d845c2f7f87d891e1abd9494ae2f51e7504cb74ac8ee793

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db5c6e8aaad327e3b23ba232926225183977e8954020b44416625410a16a7927",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-10-08T23:06:48Z",
    "title_canon_sha256": "00f8eb58706fc99aeb321b40f8ee42a54f2c615e0de0343669ae611d0d92f07f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2302",
    "kind": "arxiv",
    "version": 2
  }
}