Pith Number

pith:UMOB4LWE

pith:2013:UMOB4LWEW2TKE3JFR6FL5TK4WJ

not attested not anchored not stored refs pending

Algorithms and formulas for conversion between system signatures and reliability functions

Jean-Luc Marichal

arxiv:1312.7456 v2 · 2013-12-28 · 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{UMOB4LWEW2TKE3JFR6FL5TK4WJ}

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	2026-05-18T01:36:31.618310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31c1e2ec4b6a6a26d258f8abecd5cb240401f32a33c64556aa08ee88c7c2654

Aliases

arxiv: 1312.7456 · arxiv_version: 1312.7456v2 · doi: 10.48550/arxiv.1312.7456 · pith_short_12: UMOB4LWEW2TK · pith_short_16: UMOB4LWEW2TKE3JF · pith_short_8: UMOB4LWE

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/UMOB4LWEW2TKE3JFR6FL5TK4WJ \
  | 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: a31c1e2ec4b6a6a26d258f8abecd5cb240401f32a33c64556aa08ee88c7c2654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b876a39e3a2bdeb47f2b099d65b63c0cd4d0ca6bfefaf743040fb3ce667f4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-28T17:52:29Z",
    "title_canon_sha256": "305f52058c913410de4b7ea1ac0437f01c97919031b72cde6f128c5133bc3759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7456",
    "kind": "arxiv",
    "version": 2
  }
}