Pith Number

pith:AXB3LYHF

pith:2015:AXB3LYHFRAAZPLJJJ7CO5GONB3

not attested not anchored not stored refs pending

Resonance widths for general Helmholtz Resonators with straight neck

Alain Grigis, Andr\'e Martinez, Thomas Duyckaerts

arxiv:1504.05425 v1 · 2015-04-21 · 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{AXB3LYHFRAAZPLJJJ7CO5GONB3}

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	2026-05-18T00:50:23.133885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05c3b5e0e5880197ad294fc4ee99cd0eea474b450e3f262a7d1c7c7d79520afc

Aliases

arxiv: 1504.05425 · arxiv_version: 1504.05425v1 · doi: 10.48550/arxiv.1504.05425 · pith_short_12: AXB3LYHFRAAZ · pith_short_16: AXB3LYHFRAAZPLJJ · pith_short_8: AXB3LYHF

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/AXB3LYHFRAAZPLJJJ7CO5GONB3 \
  | 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: 05c3b5e0e5880197ad294fc4ee99cd0eea474b450e3f262a7d1c7c7d79520afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a968c09f7c70806b82acf729db7a0b314608532b58c8a98c9e06468a072054a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-21T13:26:07Z",
    "title_canon_sha256": "037625c544b6c3e09759bc07bc3d15cf8307d2d4097c2d3f834b6fdac3ae8a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05425",
    "kind": "arxiv",
    "version": 1
  }
}