Pith Number

pith:CZR64NJK

pith:2016:CZR64NJKXJAFDORGOAOJOOMI5G

not attested not anchored not stored refs pending

A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators

Bruno Lombard (OandI, Jean-Fran\c{c}ois Mercier (POEMS), LMA)

arxiv:1609.03841 v2 · 2016-09-13 · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZR64NJKXJAFDORGOAOJOOMI5G}

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	2026-05-18T00:46:59.492919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1663ee352aba4051ba26701c973988e9b0531ca71ffbb2753db0e52100c4680f

Aliases

arxiv: 1609.03841 · arxiv_version: 1609.03841v2 · doi: 10.48550/arxiv.1609.03841 · pith_short_12: CZR64NJKXJAF · pith_short_16: CZR64NJKXJAFDORG · pith_short_8: CZR64NJK

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/CZR64NJKXJAFDORGOAOJOOMI5G \
  | 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: 1663ee352aba4051ba26701c973988e9b0531ca71ffbb2753db0e52100c4680f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf32ab3dbfc40105ab148d0808c55c296e08d823b496461ac0f646590e74543e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2016-09-13T14:05:42Z",
    "title_canon_sha256": "4241da56ce34f3b19df3a184cba83cfc87402f7aed909c8c1205001da82e926f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03841",
    "kind": "arxiv",
    "version": 2
  }
}