Pith Number

pith:LYHHZFTJ

pith:1997:LYHHZFTJFNTE6H7GS76W2LC5LZ

not attested not anchored not stored refs pending

Localized and Cellular Patterns in a Vibrated Granular Layer

Igor Aranson, Lev Tsimring

arxiv:patt-sol/9703009 v2 · 1997-03-26 · patt-sol · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYHHZFTJFNTE6H7GS76W2LC5LZ}

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	2026-05-18T01:05:17.471859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e0e7c96692b664f1fe697fd6d2c5d5e53b55b5607a8b44af378bbaba1f8faab

Aliases

arxiv: patt-sol/9703009 · arxiv_version: patt-sol/9703009v2 · doi: 10.48550/arxiv.patt-sol/9703009 · pith_short_12: LYHHZFTJFNTE · pith_short_16: LYHHZFTJFNTE6H7G · pith_short_8: LYHHZFTJ

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/LYHHZFTJFNTE6H7GS76W2LC5LZ \
  | 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: 5e0e7c96692b664f1fe697fd6d2c5d5e53b55b5607a8b44af378bbaba1f8faab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf0095e38068612b15426644856ad72aa408381299ecbcd9a364784adaa322d9",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "",
    "primary_cat": "patt-sol",
    "submitted_at": "1997-03-26T16:07:15Z",
    "title_canon_sha256": "33c3c6ee19f7433e7343481f99a45b152002218ab0d677c4a4dee04025938141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "patt-sol/9703009",
    "kind": "arxiv",
    "version": 2
  }
}