Pith Number

pith:WXWT3H3P

pith:2017:WXWT3H3PIG27QHGEI5VSK6IJY3

not attested not anchored not stored refs pending

Malliavin calculus approach to long exit times from an unstable equilibrium

Yuri Bakhtin, Zsolt Pajor-Gyulai

arxiv:1710.03293 v4 · 2017-10-09 · math.PR · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXWT3H3PIG27QHGEI5VSK6IJY3}

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	2026-05-17T23:41:47.106300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5ed3d9f6f41b5f81cc4476b257909c6ebbe68d2a75f522519ff0a3fa81c50c4

Aliases

arxiv: 1710.03293 · arxiv_version: 1710.03293v4 · doi: 10.48550/arxiv.1710.03293 · pith_short_12: WXWT3H3PIG27 · pith_short_16: WXWT3H3PIG27QHGE · pith_short_8: WXWT3H3P

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/WXWT3H3PIG27QHGEI5VSK6IJY3 \
  | 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: b5ed3d9f6f41b5f81cc4476b257909c6ebbe68d2a75f522519ff0a3fa81c50c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dcaf6f08fb7e843ff41f281315f3def64848d90f6c800f43db08ccec9fa494c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-09T20:07:06Z",
    "title_canon_sha256": "c42b06c4dcb0acdde940dd867c6d25163bba0aa130af952b58dee6a9082d388b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03293",
    "kind": "arxiv",
    "version": 4
  }
}