Pith Number

pith:YMK2LN2K

pith:2009:YMK2LN2K7QLV32FXAQU6F2U5VH

not attested not anchored not stored refs pending

A model of ballistic aggregation and fragmentation

Anna S. Bodrova, Nikolay V. Brilliantov, Paul L. Krapivsky

arxiv:0909.5584 v2 · 2009-09-30 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMK2LN2K7QLV32FXAQU6F2U5VH}

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	2026-05-18T02:11:35.964175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c315a5b74afc175de8b70429e2ea9da9d79be9d5dddda2da03e0838824a45171

Aliases

arxiv: 0909.5584 · arxiv_version: 0909.5584v2 · doi: 10.48550/arxiv.0909.5584 · pith_short_12: YMK2LN2K7QLV · pith_short_16: YMK2LN2K7QLV32FX · pith_short_8: YMK2LN2K

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/YMK2LN2K7QLV32FXAQU6F2U5VH \
  | 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: c315a5b74afc175de8b70429e2ea9da9d79be9d5dddda2da03e0838824a45171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c9ea584e54e7c31acea54abbea0d18fc917ed0c96762b0e463b36ffa3e3f39a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-09-30T12:00:28Z",
    "title_canon_sha256": "c7b5dad746b6bad0c07336a8d317802577c6c6cc7c1d13dd31618ddcc47fc9ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5584",
    "kind": "arxiv",
    "version": 2
  }
}