Pith Number

pith:A77ACZD7

pith:2016:A77ACZD7TAYWCNAL2VUI4BQKZS

not attested not anchored not stored refs pending

Effective medium theory for acoustic waves in bubbly fluids near Minnaert resonant frequency

Habib Ammari, Hai Zhang

arxiv:1604.08409 v1 · 2016-04-28 · 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{A77ACZD7TAYWCNAL2VUI4BQKZS}

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	2026-05-18T01:16:04.077712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07fe01647f983161340bd5688e060acca6bfc892a7e92141eecbe4baaecd9c3f

Aliases

arxiv: 1604.08409 · arxiv_version: 1604.08409v1 · doi: 10.48550/arxiv.1604.08409 · pith_short_12: A77ACZD7TAYW · pith_short_16: A77ACZD7TAYWCNAL · pith_short_8: A77ACZD7

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/A77ACZD7TAYWCNAL2VUI4BQKZS \
  | 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: 07fe01647f983161340bd5688e060acca6bfc892a7e92141eecbe4baaecd9c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ed5308a5c44f1cc95a3e55cf6123dfa0875fd9ca474375e8ba9af883646f03f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-28T13:31:40Z",
    "title_canon_sha256": "d8f4f41c0e84fc730ac60db456238988706cd07d117306799d4840e000500849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08409",
    "kind": "arxiv",
    "version": 1
  }
}