Pith Number

pith:W6LH4O6F

pith:2012:W6LH4O6FKW7TJM7TRZSBYIDDSP

not attested not anchored not stored refs pending

On a Generalization of the Expected Discounted Penalty Function to Include Deficits at and Beyond Ruin

Zied Ben Salah

arxiv:1212.5126 v1 · 2012-12-20 · 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{W6LH4O6FKW7TJM7TRZSBYIDDSP}

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	2026-05-18T03:38:03.789590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7967e3bc555bf34b3f38e641c206393df36a12ab667c2e9e207d7f69ebc575d

Aliases

arxiv: 1212.5126 · arxiv_version: 1212.5126v1 · doi: 10.48550/arxiv.1212.5126 · pith_short_12: W6LH4O6FKW7T · pith_short_16: W6LH4O6FKW7TJM7T · pith_short_8: W6LH4O6F

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/W6LH4O6FKW7TJM7TRZSBYIDDSP \
  | 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: b7967e3bc555bf34b3f38e641c206393df36a12ab667c2e9e207d7f69ebc575d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7b96bbfeb71c1ef88cc56c76be5812edac689e61b52447a9b150701c45ba14b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-20T16:28:58Z",
    "title_canon_sha256": "3ac11c653e36e7e8ecc8445f64f68fcb457ad8451c073bf3404f98e63b8b5eb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5126",
    "kind": "arxiv",
    "version": 1
  }
}