Pith Number

pith:ISOF6MBU

pith:2012:ISOF6MBUINQF4CVH6K5CAQIOVG

not attested not anchored not stored refs pending

Diffusions of Multiplicative Cascades

Ben Rifkind, Tom Alberts

arxiv:1205.2413 v2 · 2012-05-11 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISOF6MBUINQF4CVH6K5CAQIOVG}

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	2026-05-18T03:24:54.281248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

449c5f303443605e0aa7f2ba20410ea9bea4821e49814f7bb7302dbc79809861

Aliases

arxiv: 1205.2413 · arxiv_version: 1205.2413v2 · doi: 10.48550/arxiv.1205.2413 · pith_short_12: ISOF6MBUINQF · pith_short_16: ISOF6MBUINQF4CVH · pith_short_8: ISOF6MBU

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/ISOF6MBUINQF4CVH6K5CAQIOVG \
  | 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: 449c5f303443605e0aa7f2ba20410ea9bea4821e49814f7bb7302dbc79809861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2348f0c1977c93fda56c2f23720f4dfc1a4eff1667af67bacbd560a217c01600",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-11T01:47:42Z",
    "title_canon_sha256": "42b5105dc2ffb87a9a7bfd571b042e7326441ed08b444ab6ee80ca8b3e590f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2413",
    "kind": "arxiv",
    "version": 2
  }
}