Pith Number

pith:UI6USKTP

pith:2010:UI6USKTPAYP7Q2KEJANUSLNE6K

not attested not anchored not stored refs pending

On the infimum attained by a reflected L\'evy process

Kamil Marcin Kosinski, Krzysztof Debicki, Michel Mandjes

arxiv:1012.0936 v3 · 2010-12-04 · 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{UI6USKTPAYP7Q2KEJANUSLNE6K}

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	2026-05-18T04:05:04.085978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23d492a6f061ff86944481b492da4f2a81edd02757af1ffd9cf700596dd7388

Aliases

arxiv: 1012.0936 · arxiv_version: 1012.0936v3 · doi: 10.48550/arxiv.1012.0936 · pith_short_12: UI6USKTPAYP7 · pith_short_16: UI6USKTPAYP7Q2KE · pith_short_8: UI6USKTP

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/UI6USKTPAYP7Q2KEJANUSLNE6K \
  | 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: a23d492a6f061ff86944481b492da4f2a81edd02757af1ffd9cf700596dd7388

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec251e94ff33ca428be5d580ebdf5c50e53eab38fa924dcc974c7dc9950787eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-04T17:56:14Z",
    "title_canon_sha256": "255ebedb75191a186220abc0e3892b61af5d20c0217be5eb774989524c82f288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0936",
    "kind": "arxiv",
    "version": 3
  }
}