Pith Number

pith:VW5DS4MC

pith:2011:VW5DS4MCFR65Q5QE43HVOVAMRD

not attested not anchored not stored refs pending

A solvable model of fracture with power-law distribution of fragment sizes

Ken Yamamoto, Yoshihiro Yamazaki

arxiv:1106.1506 v1 · 2011-06-08 · cond-mat.stat-mech · 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{VW5DS4MCFR65Q5QE43HVOVAMRD}

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	2026-05-18T03:28:43.103187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adba3971822c7dd87604e6cf57540c88ecea686edb3a1088a9a94b87a63598d1

Aliases

arxiv: 1106.1506 · arxiv_version: 1106.1506v1 · doi: 10.48550/arxiv.1106.1506 · pith_short_12: VW5DS4MCFR65 · pith_short_16: VW5DS4MCFR65Q5QE · pith_short_8: VW5DS4MC

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/VW5DS4MCFR65Q5QE43HVOVAMRD \
  | 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: adba3971822c7dd87604e6cf57540c88ecea686edb3a1088a9a94b87a63598d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32e1e79621de4c942ce81e17def081629cd49f4ddf331d91da96e48e129890d6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-06-08T06:26:29Z",
    "title_canon_sha256": "b5a18eab3139af0ad377ea7aef56cb9e2967cc0bfd803bd2484860a15d563bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1506",
    "kind": "arxiv",
    "version": 1
  }
}