Pith Number

pith:U7BDFTCM

pith:2012:U7BDFTCMKJ63AESSL43MGEFMBS

not attested not anchored not stored refs pending

A sharp lower bound for some Neumann eigenvalues of the Hermite operator

B. Brandolini, C. Trombetti, F. Chiacchio

arxiv:1209.6275 v1 · 2012-09-27 · 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{U7BDFTCMKJ63AESSL43MGEFMBS}

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	2026-05-18T03:44:34.787947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c232cc4c527db012525f36c310ac0c8330a7902e21e81242d5ab99b0e1ad89

Aliases

arxiv: 1209.6275 · arxiv_version: 1209.6275v1 · doi: 10.48550/arxiv.1209.6275 · pith_short_12: U7BDFTCMKJ63 · pith_short_16: U7BDFTCMKJ63AESS · pith_short_8: U7BDFTCM

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/U7BDFTCMKJ63AESSL43MGEFMBS \
  | 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: a7c232cc4c527db012525f36c310ac0c8330a7902e21e81242d5ab99b0e1ad89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "571b639441e159a6eee0533467f784d5f323764689e54203350c5272a9f0a5a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-27T16:32:44Z",
    "title_canon_sha256": "03aa3cad65e8674b07da818b2e95516c3acfee3748fa4f088f20d79bdb4149ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6275",
    "kind": "arxiv",
    "version": 1
  }
}