Pith Number

pith:HGYC7XT3

pith:2011:HGYC7XT3MSWJ24PMTVAC7MIHYI

not attested not anchored not stored refs pending

Effective speed of sound in phononic crystals

A.A. Kutsenko, A.L. Shuvalov, A.N. Norris

arxiv:1106.5412 v1 · 2011-06-27 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGYC7XT3MSWJ24PMTVAC7MIHYI}

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	2026-05-18T04:05:46.898375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39b02fde7b64ac9d71ec9d402fb107c22d8fa0ac1746db78aee01e2368d11e85

Aliases

arxiv: 1106.5412 · arxiv_version: 1106.5412v1 · doi: 10.48550/arxiv.1106.5412 · pith_short_12: HGYC7XT3MSWJ · pith_short_16: HGYC7XT3MSWJ24PM · pith_short_8: HGYC7XT3

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/HGYC7XT3MSWJ24PMTVAC7MIHYI \
  | 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: 39b02fde7b64ac9d71ec9d402fb107c22d8fa0ac1746db78aee01e2368d11e85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72165b4547657945c4328e22f8f5d16d09ba6e65395b63f8e73703b7f07a428f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-27T15:03:20Z",
    "title_canon_sha256": "70ccaf2867a1ded68d0f5c3b68521a6a415a2aa4b690a5b0143cff45a28abf0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5412",
    "kind": "arxiv",
    "version": 1
  }
}