Pith Number

pith:II6IP64P

pith:2011:II6IP64P3I7SMNCM4JPLLXA6FL

not attested not anchored not stored refs pending

Multivariate Operator-Self-Similar Random Fields

Yimin Xiao, Yuqiang Li

arxiv:1104.0059 v1 · 2011-04-01 · 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{II6IP64P3I7SMNCM4JPLLXA6FL}

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	2026-05-18T04:16:11.869590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

423c87fb8fda3f26344ce25eb5dc1e2ac4d41075cc1ce5fa3c6200f68996347b

Aliases

arxiv: 1104.0059 · arxiv_version: 1104.0059v1 · doi: 10.48550/arxiv.1104.0059 · pith_short_12: II6IP64P3I7S · pith_short_16: II6IP64P3I7SMNCM · pith_short_8: II6IP64P

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/II6IP64P3I7SMNCM4JPLLXA6FL \
  | 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: 423c87fb8fda3f26344ce25eb5dc1e2ac4d41075cc1ce5fa3c6200f68996347b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1347d4f7fae9f8aa57d1080a9fba033dfb0449df59d24076a6ad32fcbc3023a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-01T01:29:12Z",
    "title_canon_sha256": "f3f8582e5954aa9596c183f8a36a044bf0537a77fc78f57ef69405cb47a29b7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0059",
    "kind": "arxiv",
    "version": 1
  }
}