Pith Number

pith:ZUC6BWUU

pith:2009:ZUC6BWUU4TFV4MYLE7LN44Y4BW

not attested not anchored not stored refs pending

First passage time law for some jump-diffusion processes : existence of a density

Diana Dorobantu (SAF), Laure Coutin (MAP5)

arxiv:0904.1669 v3 · 2009-04-10 · 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{ZUC6BWUU4TFV4MYLE7LN44Y4BW}

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	2026-05-18T04:04:52.356910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd05e0da94e4cb5e330b27d6de731c0d8d766c12a1c83c93b92625f26e6fd5c9

Aliases

arxiv: 0904.1669 · arxiv_version: 0904.1669v3 · doi: 10.48550/arxiv.0904.1669 · pith_short_12: ZUC6BWUU4TFV · pith_short_16: ZUC6BWUU4TFV4MYL · pith_short_8: ZUC6BWUU

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/ZUC6BWUU4TFV4MYLE7LN44Y4BW \
  | 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: cd05e0da94e4cb5e330b27d6de731c0d8d766c12a1c83c93b92625f26e6fd5c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a244fca76d4fa34f2ccf309330b3a090d07f157076ff61ca43b8a7455baeccb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-04-10T09:52:00Z",
    "title_canon_sha256": "3247be9b639460a01a585eb16d17b3f388e6bcede7673ac9f08b793cdeee066f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1669",
    "kind": "arxiv",
    "version": 3
  }
}