Pith Number

pith:6LX75L2D

pith:2011:6LX75L2DCNOUUBF5MKDW3NTMOG

not attested not anchored not stored refs pending

On the effective shear speed in 2D phononic crystals

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

arxiv:1106.5409 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{6LX75L2DCNOUUBF5MKDW3NTMOG}

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	2026-05-18T04:14:16.353780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2effeaf43135d4a04bd62876db66c71b1efd935ae5f3d1b9ac81b50d7fafac3

Aliases

arxiv: 1106.5409 · arxiv_version: 1106.5409v1 · doi: 10.48550/arxiv.1106.5409 · pith_short_12: 6LX75L2DCNOU · pith_short_16: 6LX75L2DCNOUUBF5 · pith_short_8: 6LX75L2D

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/6LX75L2DCNOUUBF5MKDW3NTMOG \
  | 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: f2effeaf43135d4a04bd62876db66c71b1efd935ae5f3d1b9ac81b50d7fafac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fa579fa30ff66879569625e40330b61a735e92ace28a9d19a28b14498fb8ce7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-27T15:00:11Z",
    "title_canon_sha256": "ae5aa76ca035121ba0fae614037c42644f267b6d07e98a7d181245402608dd4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5409",
    "kind": "arxiv",
    "version": 1
  }
}