Pith Number

pith:L66C2DPJ

pith:2017:L66C2DPJY7VLMUGCYNV6B67PTM

not attested not anchored not stored refs pending

Phase Transitions in Systems with Aggregation and Shattering

N. V. Brilliantov, P. L. Krapivsky, W. Otieno

arxiv:1708.06440 v1 · 2017-08-21 · 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{L66C2DPJY7VLMUGCYNV6B67PTM}

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	2026-05-18T00:32:05.658832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fbc2d0de9c7eab650c2c36be0fbef9b1f3bf420de7f88b5c5b84c7f1cfe2039

Aliases

arxiv: 1708.06440 · arxiv_version: 1708.06440v1 · doi: 10.48550/arxiv.1708.06440 · pith_short_12: L66C2DPJY7VL · pith_short_16: L66C2DPJY7VLMUGC · pith_short_8: L66C2DPJ

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/L66C2DPJY7VLMUGCYNV6B67PTM \
  | 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: 5fbc2d0de9c7eab650c2c36be0fbef9b1f3bf420de7f88b5c5b84c7f1cfe2039

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b870c5045fedb4e1a0f246e9fb85e45593dc1824839939df2c97397b91d360e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-08-21T22:32:07Z",
    "title_canon_sha256": "072b2c55f9d25cada67fe1569b2c422827fddb5c5f61377a862dea57c3518555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06440",
    "kind": "arxiv",
    "version": 1
  }
}