Pith Number

pith:2PCTJHQ5

pith:2012:2PCTJHQ5Q3QLRW7WTYIRGAFS6G

not attested not anchored not stored refs pending

Sub-Laplacian eigenvalue bounds on CR manifolds

Gerasim Kokarev

arxiv:1202.5465 v3 · 2012-02-24 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PCTJHQ5Q3QLRW7WTYIRGAFS6G}

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	2026-05-18T03:17:14.867237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c5349e1d86e0b8dbf69e111300b2f18c46a2900d82648126f2d5c7ab7a2bcb

Aliases

arxiv: 1202.5465 · arxiv_version: 1202.5465v3 · doi: 10.48550/arxiv.1202.5465 · pith_short_12: 2PCTJHQ5Q3QL · pith_short_16: 2PCTJHQ5Q3QLRW7W · pith_short_8: 2PCTJHQ5

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/2PCTJHQ5Q3QLRW7WTYIRGAFS6G \
  | 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: d3c5349e1d86e0b8dbf69e111300b2f18c46a2900d82648126f2d5c7ab7a2bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef877dd5f47bcc3c3b945f0dd44c1a22cb56f531d7bc0f5a0cba83db311d3ed8",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-24T14:51:29Z",
    "title_canon_sha256": "1433f7876f8965a9fde01f3def774ee668204920c1796b7efa0eb0e6d1ece81a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5465",
    "kind": "arxiv",
    "version": 3
  }
}