Pith Number

pith:MCDLRSPI

pith:2013:MCDLRSPI46JD37QPEY55EA2WUN

not attested not anchored not stored refs pending

The Lichnerowicz equation on compact manifolds with boundary

Gantumur Tsogtgerel, Michael Holst

arxiv:1306.1801 v2 · 2013-06-07 · 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{MCDLRSPI46JD37QPEY55EA2WUN}

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	2026-05-18T01:49:24.856122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6086b8c9e8e7923dfe0f263bd20356a36340b74e2583091d80c1a1e243322a73

Aliases

arxiv: 1306.1801 · arxiv_version: 1306.1801v2 · doi: 10.48550/arxiv.1306.1801 · pith_short_12: MCDLRSPI46JD · pith_short_16: MCDLRSPI46JD37QP · pith_short_8: MCDLRSPI

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/MCDLRSPI46JD37QPEY55EA2WUN \
  | 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: 6086b8c9e8e7923dfe0f263bd20356a36340b74e2583091d80c1a1e243322a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65fa9576f0631b6f644fb71bf75bac8a601d612179c879c0d5ac800712b23ff8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-06-07T18:16:59Z",
    "title_canon_sha256": "9b8bb87a103e452877258c110737454f1526b111de5f539438d096093ef24ba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1801",
    "kind": "arxiv",
    "version": 2
  }
}