Pith Number

pith:PYNQ6P2Q

pith:2016:PYNQ6P2QH72YNCORKVY6BKLK57

not attested not anchored not stored refs pending

Graphons, mergeons, and so on!

Justin Eldridge, Mikhail Belkin, Yusu Wang

arxiv:1607.01718 v4 · 2016-07-06 · stat.ML · cs.DS · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYNQ6P2QH72YNCORKVY6BKLK57}

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	2026-05-18T00:44:04.250870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e1b0f3f503ff58689d15571e0a96aefec1ceb98ff922eccee0053592c7ed2eb

Aliases

arxiv: 1607.01718 · arxiv_version: 1607.01718v4 · doi: 10.48550/arxiv.1607.01718 · pith_short_12: PYNQ6P2QH72Y · pith_short_16: PYNQ6P2QH72YNCOR · pith_short_8: PYNQ6P2Q

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/PYNQ6P2QH72YNCORKVY6BKLK57 \
  | 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: 7e1b0f3f503ff58689d15571e0a96aefec1ceb98ff922eccee0053592c7ed2eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "badc08d10f3e6d44f2354411839d18711b284d3b16be190bc95c9b5c2fc330fa",
    "cross_cats_sorted": [
      "cs.DS",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-07-06T17:35:55Z",
    "title_canon_sha256": "5ffb6c517b20ec85d353b5b74972c0bcb983a729defa7d3e50212829906c0cca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01718",
    "kind": "arxiv",
    "version": 4
  }
}