Pith Number

pith:HJVTJ4EJ

pith:2011:HJVTJ4EJ5RETVBT57TSR6I3XUR

not attested not anchored not stored refs pending

Occupation densities in solving exit problems for Markov additive processes and their reflections

Jevgenijs Ivanovs, Zbigniew Palmowski

arxiv:1110.3811 v1 · 2011-10-17 · 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{HJVTJ4EJ5RETVBT57TSR6I3XUR}

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	2026-05-18T04:10:47.866868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a6b34f089ec493a867dfce51f2377a476afb2b0b9e4a2097450461205cb759b

Aliases

arxiv: 1110.3811 · arxiv_version: 1110.3811v1 · doi: 10.48550/arxiv.1110.3811 · pith_short_12: HJVTJ4EJ5RET · pith_short_16: HJVTJ4EJ5RETVBT5 · pith_short_8: HJVTJ4EJ

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/HJVTJ4EJ5RETVBT57TSR6I3XUR \
  | 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: 3a6b34f089ec493a867dfce51f2377a476afb2b0b9e4a2097450461205cb759b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a9733643c44bed847edc01a8c3aaab3bcecf0a78dd91355d150210bb9fc8283",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-17T20:31:05Z",
    "title_canon_sha256": "e15111468ca0ffac5350942cb728e5c25d42f037f5312b7894aa18b0c87d3305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3811",
    "kind": "arxiv",
    "version": 1
  }
}