Pith Number

pith:Y5UWIKTT

pith:2012:Y5UWIKTTCK77A7ZSL5KENAEFYM

not attested not anchored not stored refs pending

An Obata type result for the first eigenvalue of the sub-Laplacian on a CR manifold with a divergence free torsion

Dimiter Vassilev, Stefan Ivanov

arxiv:1203.5812 v3 · 2012-03-26 · math.DG · 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{Y5UWIKTTCK77A7ZSL5KENAEFYM}

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	2026-05-18T03:55:57.192214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c769642a7312bff07f325f54468085c30302c0ff2f1cb8e11836008a404a9fe4

Aliases

arxiv: 1203.5812 · arxiv_version: 1203.5812v3 · doi: 10.48550/arxiv.1203.5812 · pith_short_12: Y5UWIKTTCK77 · pith_short_16: Y5UWIKTTCK77A7ZS · pith_short_8: Y5UWIKTT

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/Y5UWIKTTCK77A7ZSL5KENAEFYM \
  | 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: c769642a7312bff07f325f54468085c30302c0ff2f1cb8e11836008a404a9fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a00b6f0d3a5ee8fba103e470f87ef6a25606be30dd2f05154961eeae9e2b4c8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-26T20:48:27Z",
    "title_canon_sha256": "c002fe8599ca1cce1002b4c9f7709cfa9e92ae82085faef02fcf6d6e9675ddda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5812",
    "kind": "arxiv",
    "version": 3
  }
}