Pith Number

pith:5TOFOECT

pith:2010:5TOFOECTWVX7ZLFLQ3B72XQW5W

not attested not anchored not stored refs pending

Phase-type fitting of scale functions for spectrally negative Levy processes

Kazutoshi Yamazaki, Masahiko Egami

arxiv:1005.0064 v8 · 2010-05-01 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TOFOECTWVX7ZLFLQ3B72XQW5W}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:24:09.571902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecdc571053b56ffcacab86c3fd5e16edb738a722c5aa4dc843f47b21029726a9

Aliases

arxiv: 1005.0064 · arxiv_version: 1005.0064v8 · doi: 10.48550/arxiv.1005.0064 · pith_short_12: 5TOFOECTWVX7 · pith_short_16: 5TOFOECTWVX7ZLFL · pith_short_8: 5TOFOECT

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/5TOFOECTWVX7ZLFLQ3B72XQW5W \
  | 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: ecdc571053b56ffcacab86c3fd5e16edb738a722c5aa4dc843f47b21029726a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a79529fa16a79a6356cfcff5e260f36b2091b450991cdab472d36580fc44b86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-01T11:57:49Z",
    "title_canon_sha256": "2569dd6577ccdba724aefcc9c3b3ee5e2d59b33e5bbb1379b1d0f35032253345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0064",
    "kind": "arxiv",
    "version": 8
  }
}