Pith Number

pith:CGICDHKB

pith:2011:CGICDHKBDWHZJ74QNIJNNGTHEW

not attested not anchored not stored refs pending

Formation of collimated sound beams by three-dimensional sonic crystals

A. Cebrecos, I. Perez-Arjona, K. Staliunas, R. Pico, V. Espinosa, V. J. Sanchez-Morcillo, V. Romero-Garcia

arxiv:1111.6382 v1 · 2011-11-28 · cond-mat.mtrl-sci · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGICDHKBDWHZJ74QNIJNNGTHEW}

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	2026-05-18T01:59:23.115738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1190219d411d8f94ff906a12d69a6725858212545c79d6d9a54e4b7e9547f08c

Aliases

arxiv: 1111.6382 · arxiv_version: 1111.6382v1 · doi: 10.48550/arxiv.1111.6382 · pith_short_12: CGICDHKBDWHZ · pith_short_16: CGICDHKBDWHZJ74Q · pith_short_8: CGICDHKB

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/CGICDHKBDWHZJ74QNIJNNGTHEW \
  | 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: 1190219d411d8f94ff906a12d69a6725858212545c79d6d9a54e4b7e9547f08c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3467d36bb5e93d02369095ef2e282da92af59c613322d930efa0d240bc3794d0",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2011-11-28T09:45:00Z",
    "title_canon_sha256": "e8dc1828d026bfe128d93e87a223db1637429d10b7865c63c91b0a1ecd7f899f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6382",
    "kind": "arxiv",
    "version": 1
  }
}