Pith Number

pith:TWJD63EN

pith:2011:TWJD63ENBQED7B34IUC2EVVMAA

not attested not anchored not stored refs pending

Convergence rates for rank-based models with applications to portfolio theory

Mykhaylo Shkolnikov, Soumik Pal, Tomoyuki Ichiba

arxiv:1108.0384 v1 · 2011-08-01 · 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{TWJD63ENBQED7B34IUC2EVVMAA}

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	2026-05-18T04:16:31.185202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d923f6c8d0c083f877c4505a256ac00297236cb3eb8f1e5e713289ab1e9ff6f

Aliases

arxiv: 1108.0384 · arxiv_version: 1108.0384v1 · doi: 10.48550/arxiv.1108.0384 · pith_short_12: TWJD63ENBQED · pith_short_16: TWJD63ENBQED7B34 · pith_short_8: TWJD63EN

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/TWJD63ENBQED7B34IUC2EVVMAA \
  | 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: 9d923f6c8d0c083f877c4505a256ac00297236cb3eb8f1e5e713289ab1e9ff6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c86d1bd1ea46e82903a19cb11e329406b179f584391344fd800478715a0a54f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-01T18:37:01Z",
    "title_canon_sha256": "a4571e68c5f27cb93bf11ef1eece4825838b2988df9782bb698315d5302e2b39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0384",
    "kind": "arxiv",
    "version": 1
  }
}