Pith Number

pith:UZTOXO4Z

pith:2016:UZTOXO4ZNVODTKS4OZH4DDASRQ

not attested not anchored not stored refs pending

Combinatorial Repairability for Threshold Schemes

Douglas R. Stinson, Ruizhong Wei

arxiv:1609.01240 v1 · 2016-09-05 · math.CO · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZTOXO4ZNVODTKS4OZH4DDASRQ}

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	2026-05-18T01:06:18.534215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a666ebbb996d5c39aa5c764fc18c128c3e8d8a3585d4e634261dd191ac6b47a0

Aliases

arxiv: 1609.01240 · arxiv_version: 1609.01240v1 · doi: 10.48550/arxiv.1609.01240 · pith_short_12: UZTOXO4ZNVOD · pith_short_16: UZTOXO4ZNVODTKS4 · pith_short_8: UZTOXO4Z

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/UZTOXO4ZNVODTKS4OZH4DDASRQ \
  | 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: a666ebbb996d5c39aa5c764fc18c128c3e8d8a3585d4e634261dd191ac6b47a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45ec2d413836d70335ac59307677abf43c6242a27d33a61865ae821c93031e59",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-05T18:11:50Z",
    "title_canon_sha256": "8d152423e2f9bd8707e5f79e47841752e18adcd8b33f639ff061afe59894563d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01240",
    "kind": "arxiv",
    "version": 1
  }
}