Pith Number

pith:6GXNOHVW

pith:2016:6GXNOHVWBZCZ3F6KWLLWGHKTUI

not attested not anchored not stored refs pending

Pairwise Choice Markov Chains

Johan Ugander, Stephen Ragain

arxiv:1603.02740 v4 · 2016-03-08 · stat.ML · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GXNOHVWBZCZ3F6KWLLWGHKTUI}

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	2026-07-05T02:40:08.033680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1aed71eb60e459d97cab2d7631d53a224e2e88546a362b352e60e62b35158c1

Aliases

arxiv: 1603.02740 · arxiv_version: 1603.02740v4 · doi: 10.48550/arxiv.1603.02740 · pith_short_12: 6GXNOHVWBZCZ · pith_short_16: 6GXNOHVWBZCZ3F6K · pith_short_8: 6GXNOHVW

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/6GXNOHVWBZCZ3F6KWLLWGHKTUI \
  | 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: f1aed71eb60e459d97cab2d7631d53a224e2e88546a362b352e60e62b35158c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0f736d82ba86579f91ab00290644288b85ac7763bd6a2e4d0f2d48d405e2b0a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-03-08T23:47:03Z",
    "title_canon_sha256": "c05c8632d321e6943ceddd1462956a3d94afa03e3942b9c75fa2d123566afd74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02740",
    "kind": "arxiv",
    "version": 4
  }
}