Pith Number

pith:PLB73L7I

pith:2016:PLB73L7IZIRWYDZANFWJEL5VNA

not attested not anchored not stored refs pending

Discordant voting processes on finite graphs

Alan Frieze, Colin Cooper, Martin Dyer, Nicolas Rivera

arxiv:1604.06884 v3 · 2016-04-23 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLB73L7IZIRWYDZANFWJEL5VNA}

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	2026-05-18T00:54:03.296481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac3fdafe8ca236c0f20696c922fb568386567c03aff54be9e0e7229948d88a5

Aliases

arxiv: 1604.06884 · arxiv_version: 1604.06884v3 · doi: 10.48550/arxiv.1604.06884 · pith_short_12: PLB73L7IZIRW · pith_short_16: PLB73L7IZIRWYDZA · pith_short_8: PLB73L7I

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/PLB73L7IZIRWYDZANFWJEL5VNA \
  | 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: 7ac3fdafe8ca236c0f20696c922fb568386567c03aff54be9e0e7229948d88a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91c42aba9cb0a25711a9211b6747d6204f52a78f3575c7c4a2732ebc72a9ff9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-04-23T09:41:05Z",
    "title_canon_sha256": "6b8c90353f6053133282af16ba4579cc4d8d393af90115699b083512572825f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06884",
    "kind": "arxiv",
    "version": 3
  }
}