Pith Number

pith:BRIUGIE5

pith:2011:BRIUGIE5LLE4DY473K4V5W7QXH

not attested not anchored not stored refs pending

Planar Diffusions with Rank-Based Characteristics: Transition Probabilities, Time Reversal, Maximality and Perturbed Tanaka equations

E. Robert Fernholz, Ioannis Karatzas, Tomoyuki Ichiba, Vilmos Prokaj

arxiv:1108.3992 v5 · 2011-08-19 · 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{BRIUGIE5LLE4DY473K4V5W7QXH}

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	2026-05-18T03:53:20.408006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c5143209d5ac9c1e39fdab95edbf0b9f182610ea72f0a3b36cff390b009d099

Aliases

arxiv: 1108.3992 · arxiv_version: 1108.3992v5 · doi: 10.48550/arxiv.1108.3992 · pith_short_12: BRIUGIE5LLE4 · pith_short_16: BRIUGIE5LLE4DY47 · pith_short_8: BRIUGIE5

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/BRIUGIE5LLE4DY473K4V5W7QXH \
  | 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: 0c5143209d5ac9c1e39fdab95edbf0b9f182610ea72f0a3b36cff390b009d099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b8b4b30f0c981c9b44b14304964c06f917c3dab627eb1d1cbfa7173e4b8dac7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-19T16:07:57Z",
    "title_canon_sha256": "8f16e02c55227fb52d39e516fed67f980f8cb93118ed4e622288185933bc8646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3992",
    "kind": "arxiv",
    "version": 5
  }
}