Pith Number

pith:BFBZ2IZW

pith:2012:BFBZ2IZWQGRTLNYEO52UN4FMYW

not attested not anchored not stored refs pending

Continuum Cascade Model of Directed Random Graphs: Traveling Wave Analysis

P. L. Krapivsky, Yoshiaki Itoh

arxiv:1206.3711 v2 · 2012-06-16 · math.PR · cond-mat.stat-mech · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFBZ2IZWQGRTLNYEO52UN4FMYW}

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	2026-05-18T03:41:58.559436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09439d233681a335b704777546f0acc5b0168d10256deea77c66790c876a710a

Aliases

arxiv: 1206.3711 · arxiv_version: 1206.3711v2 · doi: 10.48550/arxiv.1206.3711 · pith_short_12: BFBZ2IZWQGRT · pith_short_16: BFBZ2IZWQGRTLNYE · pith_short_8: BFBZ2IZW

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/BFBZ2IZWQGRTLNYEO52UN4FMYW \
  | 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: 09439d233681a335b704777546f0acc5b0168d10256deea77c66790c876a710a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "215f63bfa8348dade3369548b9d99f50f9db88d2d0e1d1e90bb1f7c2a6fc95ba",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-16T22:46:00Z",
    "title_canon_sha256": "d0fdbf5567906a793aa0ad412a67528c4c8e6127a4c940cd45ef6eb65d2d0f8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3711",
    "kind": "arxiv",
    "version": 2
  }
}