Pith Number

pith:OXPZKB53

pith:2026:OXPZKB53QGUFCDWOZAI7YT34KN

not attested not anchored not stored refs pending

Resonant Microstructures as Dirac-type Actuators for Acoustic Wave Control

Arpan Mukherjee, Mourad Sini

arxiv:2605.25978 v1 · 2026-05-25 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXPZKB53QGUFCDWOZAI7YT34KN}

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	2026-05-26T02:05:21.446123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75df9507bb81a8510ecec811fc4f7c53522423fb69dcb4a7187e5a7ad0ab46e1

Aliases

arxiv: 2605.25978 · arxiv_version: 2605.25978v1 · doi: 10.48550/arxiv.2605.25978 · pith_short_12: OXPZKB53QGUF · pith_short_16: OXPZKB53QGUFCDWO · pith_short_8: OXPZKB53

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/OXPZKB53QGUFCDWOZAI7YT34KN \
  | 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: 75df9507bb81a8510ecec811fc4f7c53522423fb69dcb4a7187e5a7ad0ab46e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9828a36a651b2e10c374085ea3b1a92a4176c33a5fd6a2c99d0b7b534fa0d3e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-25T15:53:35Z",
    "title_canon_sha256": "170c98d5bb194334408c9c4439e34a210e23ab360e304d602c94e110211b8ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25978",
    "kind": "arxiv",
    "version": 1
  }
}