Pith Number

pith:BD3CVVNI

pith:2012:BD3CVVNIYPJRFHEYOJS66Y4HK6

not attested not anchored not stored refs pending

Upper and lower bounds for the first eigenvalue and the volume entropy of noncompact K\"ahler manifolds

Roberto Mossa

arxiv:1211.2705 v4 · 2012-11-12 · math.DG · math.CV · 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{BD3CVVNIYPJRFHEYOJS66Y4HK6}

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	2026-05-18T02:28:05.640040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08f62ad5a8c3d3129c987265ef6387578a7491f8ca5e86ed29572e8dc9373153

Aliases

arxiv: 1211.2705 · arxiv_version: 1211.2705v4 · doi: 10.48550/arxiv.1211.2705 · pith_short_12: BD3CVVNIYPJR · pith_short_16: BD3CVVNIYPJRFHEY · pith_short_8: BD3CVVNI

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/BD3CVVNIYPJRFHEYOJS66Y4HK6 \
  | 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: 08f62ad5a8c3d3129c987265ef6387578a7491f8ca5e86ed29572e8dc9373153

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "119d73a423ecb686ca6570653d1e556eceaa06ac4efb2b7ca6ec5644b7641738",
    "cross_cats_sorted": [
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-12T17:33:51Z",
    "title_canon_sha256": "6d5cef4f8bca6899304ee4536bc1059a66d9ed9512d45d0201e197cbfbeb650a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2705",
    "kind": "arxiv",
    "version": 4
  }
}