Pith Number

pith:BFLJEI6Y

pith:2016:BFLJEI6YEOH635PVHPSJDWPGLE

not attested not anchored not stored refs pending

Minnaert resonances for acoustic waves in bubbly media

Brian Fitzpatrick, David Gontier, Habib Ammari, Hai Zhang, Hyundae Lee

arxiv:1603.03982 v1 · 2016-03-13 · 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{BFLJEI6YEOH635PVHPSJDWPGLE}

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	2026-05-18T01:19:09.848185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09569223d8238fedf5f53be491d9e6591558f7a7e2cf54e91c11c69d2b453603

Aliases

arxiv: 1603.03982 · arxiv_version: 1603.03982v1 · doi: 10.48550/arxiv.1603.03982 · pith_short_12: BFLJEI6YEOH6 · pith_short_16: BFLJEI6YEOH635PV · pith_short_8: BFLJEI6Y

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/BFLJEI6YEOH635PVHPSJDWPGLE \
  | 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: 09569223d8238fedf5f53be491d9e6591558f7a7e2cf54e91c11c69d2b453603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "519a1f654f71858a9b02ff350eb6fadf8b8ecb1360f9d4800ebce01a2f481dea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-13T02:35:50Z",
    "title_canon_sha256": "1fee1829e7570429720c239d43b459828892800e3fa46128eb0e7c5627a82a73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03982",
    "kind": "arxiv",
    "version": 1
  }
}