Pith Number

pith:4OOIWMTL

pith:2011:4OOIWMTLJTUGPABULOA5QDQNRN

not attested not anchored not stored refs pending

Optimal lower bound of the resonance widths for a Helmhotz tube-shaped resonator

Andre Martinez, Laurence Nedelec

arxiv:1106.0990 v1 · 2011-06-06 · 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{4OOIWMTLJTUGPABULOA5QDQNRN}

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	2026-05-18T04:20:36.774903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39c8b326b4ce86780345b81d80e0d8b47e7e29f5928a05d9f8aa8f838705888

Aliases

arxiv: 1106.0990 · arxiv_version: 1106.0990v1 · doi: 10.48550/arxiv.1106.0990 · pith_short_12: 4OOIWMTLJTUG · pith_short_16: 4OOIWMTLJTUGPABU · pith_short_8: 4OOIWMTL

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/4OOIWMTLJTUGPABULOA5QDQNRN \
  | 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: e39c8b326b4ce86780345b81d80e0d8b47e7e29f5928a05d9f8aa8f838705888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "906e38e5fdba1096b56dbeac5afb4ff54a83ce03fe6ac4c55568309635234363",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-06-06T08:35:27Z",
    "title_canon_sha256": "a7ab0f6c1638f66301a6bc23ab0970113448e2bd4eb939507da125d2c0a4c6c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0990",
    "kind": "arxiv",
    "version": 1
  }
}