Pith Number

pith:JAI56U2J

pith:2009:JAI56U2JM6Y5QHJBHIR3RLQPE5

not attested not anchored not stored refs pending

Localized Breathing Modes in Granular Crystals with Defects

Chiara Daraio, G. Theocharis, I.G. Kevrekidis, Mason A. Porter, M. Kavousanakis, P.G. Kevrekidis

arxiv:0906.4094 v1 · 2009-06-22 · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JAI56U2JM6Y5QHJBHIR3RLQPE5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:28:21.875240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4811df534967b1d81d213a23b8ae0f27630126c9d3d6e605defb7d22702f601a

Aliases

arxiv: 0906.4094 · arxiv_version: 0906.4094v1 · doi: 10.48550/arxiv.0906.4094 · pith_short_12: JAI56U2JM6Y5 · pith_short_16: JAI56U2JM6Y5QHJB · pith_short_8: JAI56U2J

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/JAI56U2JM6Y5QHJBHIR3RLQPE5 \
  | 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: 4811df534967b1d81d213a23b8ae0f27630126c9d3d6e605defb7d22702f601a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "488cd97d383d02fead43f0fd111e18dfc105dfbb636c6ff07c7be7cc3a0ce2dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2009-06-22T19:38:24Z",
    "title_canon_sha256": "f09236162ad94dcb6b120dfd5ed936064d0c9c96283ae609def574a8a7da2383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4094",
    "kind": "arxiv",
    "version": 1
  }
}