Pith Number

pith:VJ6ZFYSK

pith:2015:VJ6ZFYSKWC6H7WRLHSRHYB5ZMB

not attested not anchored not stored refs pending

Maximum loss and maximum gain of spectrally negative Levy processes

Ceren Vardar Acar, Mine Caglar

arxiv:1510.03629 v2 · 2015-10-13 · 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{VJ6ZFYSKWC6H7WRLHSRHYB5ZMB}

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	2026-05-17T23:55:23.484547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa7d92e24ab0bc7fda2b3ca27c07b9606bf378f4dda84558645ed1f267a7bd18

Aliases

arxiv: 1510.03629 · arxiv_version: 1510.03629v2 · doi: 10.48550/arxiv.1510.03629 · pith_short_12: VJ6ZFYSKWC6H · pith_short_16: VJ6ZFYSKWC6H7WRL · pith_short_8: VJ6ZFYSK

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/VJ6ZFYSKWC6H7WRLHSRHYB5ZMB \
  | 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: aa7d92e24ab0bc7fda2b3ca27c07b9606bf378f4dda84558645ed1f267a7bd18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3065acd7f755542a87c1eaa5bb1423da0465e3035632d86e8017e514b3987d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-13T11:24:16Z",
    "title_canon_sha256": "713ea98b04c32df485137f46cfe362feab4d648dc20a9139d05cb31dbd5079c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03629",
    "kind": "arxiv",
    "version": 2
  }
}