Pith Number

pith:43DTFFS3

pith:2017:43DTFFS3JEMIBAIUUHEO5TBMWG

not attested not anchored not stored refs pending

Efficient multicut enumeration of k-out-of-n:F and consecutive k-out-of-n:F systems

Eduardo Saenz-de-Cabezon, Fatemeh Mohammadi, Henry P. Wynn

arxiv:1712.08042 v1 · 2017-12-21 · math.PR · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43DTFFS3JEMIBAIUUHEO5TBMWG}

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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	2026-05-18T00:27:28.967761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6c732965b4918808114a1c8eecc2cb1a2e4c6ad1ba5b46289b7a6e2f3859dbd

Aliases

arxiv: 1712.08042 · arxiv_version: 1712.08042v1 · doi: 10.48550/arxiv.1712.08042 · pith_short_12: 43DTFFS3JEMI · pith_short_16: 43DTFFS3JEMIBAIU · pith_short_8: 43DTFFS3

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/43DTFFS3JEMIBAIUUHEO5TBMWG \
  | 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: e6c732965b4918808114a1c8eecc2cb1a2e4c6ad1ba5b46289b7a6e2f3859dbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf1575205df836cbb96bbede894e5a8a5ed7f8aabf020293b32d67b8321ae9f2",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-21T16:09:01Z",
    "title_canon_sha256": "224a9dcd8925fcab69fcab63f99b1f103ac810cffa60bc85f104fd66fcb1fb66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08042",
    "kind": "arxiv",
    "version": 1
  }
}