Pith Number

pith:6LUXEFSO

pith:2015:6LUXEFSO5H2WTWUWLFNSO6EO7H

not attested not anchored not stored refs pending

On the Refracted-Reflected Spectrally Negative L\'evy Processes

Jos\'e-Luis P\'erez, Kazutoshi Yamazaki

arxiv:1511.06027 v2 · 2015-11-19 · 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{6LUXEFSO5H2WTWUWLFNSO6EO7H}

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	2026-05-18T00:42:39.660599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2e972164ee9f569da96595b27788ef9d46c9968d6c66a60fc55d87512477b44

Aliases

arxiv: 1511.06027 · arxiv_version: 1511.06027v2 · doi: 10.48550/arxiv.1511.06027 · pith_short_12: 6LUXEFSO5H2W · pith_short_16: 6LUXEFSO5H2WTWUW · pith_short_8: 6LUXEFSO

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/6LUXEFSO5H2WTWUWLFNSO6EO7H \
  | 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: f2e972164ee9f569da96595b27788ef9d46c9968d6c66a60fc55d87512477b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d76eb692882b66a1509956d01bdee6a58829f0c5533b007b1f857f064737e445",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-19T00:02:05Z",
    "title_canon_sha256": "176386342607767bf2b9e2332f64fb103856c93ccb5101c52c4311d0d525504a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06027",
    "kind": "arxiv",
    "version": 2
  }
}