Pith Number

pith:I3KO2IEU

pith:2012:I3KO2IEUJ5SKDCKNK5P3Z44ZNF

not attested not anchored not stored refs pending

Hitting times and interlacing eigenvalues: a stochastic approach using intertwinings

James Allen Fill, Vince Lyzinski

arxiv:1201.6441 v2 · 2012-01-31 · 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{I3KO2IEUJ5SKDCKNK5P3Z44ZNF}

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	2026-05-18T03:46:31.374136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46d4ed20944f64a1894d575fbcf3996967db83418e1389f6ec2aebf24754e411

Aliases

arxiv: 1201.6441 · arxiv_version: 1201.6441v2 · doi: 10.48550/arxiv.1201.6441 · pith_short_12: I3KO2IEUJ5SK · pith_short_16: I3KO2IEUJ5SKDCKN · pith_short_8: I3KO2IEU

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/I3KO2IEUJ5SKDCKNK5P3Z44ZNF \
  | 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: 46d4ed20944f64a1894d575fbcf3996967db83418e1389f6ec2aebf24754e411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878cf85da9a1d0fd91bb3dabb3ef76defd978e5015120d06132a57d3e45016e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-31T04:42:23Z",
    "title_canon_sha256": "62da149aca0cea9e557239f17ad4d037d5efb58e706660a1662412a5915688a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6441",
    "kind": "arxiv",
    "version": 2
  }
}