Pith Number

pith:4YPSQIPC

pith:2013:4YPSQIPCXVU42CMNC7TPKL5OBT

not attested not anchored not stored refs pending

Loss systems in a random environment

Hans Daduna, Ruslan Krenzler

arxiv:1312.0539 v1 · 2013-12-02 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YPSQIPCXVU42CMNC7TPKL5OBT}

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	2026-05-18T03:05:45.428502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61f2821e2bd69cd098d17e6f52fae0cf02f9e24f456509f4179aa23ee8b71b9

Aliases

arxiv: 1312.0539 · arxiv_version: 1312.0539v1 · doi: 10.48550/arxiv.1312.0539 · pith_short_12: 4YPSQIPCXVU4 · pith_short_16: 4YPSQIPCXVU42CMN · pith_short_8: 4YPSQIPC

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/4YPSQIPCXVU42CMNC7TPKL5OBT \
  | 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: e61f2821e2bd69cd098d17e6f52fae0cf02f9e24f456509f4179aa23ee8b71b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d9d9c40dc11259c94600388636126a21146a7572fde82c8babfe330fc67d5aa",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-02T18:24:33Z",
    "title_canon_sha256": "d576b911dc868abdeba704dc04d5f5db972cfaed823e8b4f33fce034f643a5ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0539",
    "kind": "arxiv",
    "version": 1
  }
}