Pith Number

pith:C3PLYPBV

pith:2011:C3PLYPBVPGH6FUR4XUFWAIX2MC

not attested not anchored not stored refs pending

KPZ in a multidimensional random geometry of multiplicative cascades

Ismael Bailleul

arxiv:1104.3085 v1 · 2011-04-15 · 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{C3PLYPBVPGH6FUR4XUFWAIX2MC}

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	2026-05-18T04:24:06.606064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16debc3c35798fe2d23cbd0b6022fa60ba8906f57beee30cf6734867b45fa076

Aliases

arxiv: 1104.3085 · arxiv_version: 1104.3085v1 · doi: 10.48550/arxiv.1104.3085 · pith_short_12: C3PLYPBVPGH6 · pith_short_16: C3PLYPBVPGH6FUR4 · pith_short_8: C3PLYPBV

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/C3PLYPBVPGH6FUR4XUFWAIX2MC \
  | 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: 16debc3c35798fe2d23cbd0b6022fa60ba8906f57beee30cf6734867b45fa076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcdbd142fcb3145b63e2277093900a98e936ebbd79a76d5382ce4d871f14be42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-15T15:16:16Z",
    "title_canon_sha256": "7f45beaf4e5ccec8d079d6497f2af233c778e2ca24cf5d354b9adf1b9321750f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3085",
    "kind": "arxiv",
    "version": 1
  }
}