Pith Number

pith:YN2Y3QSZ

pith:2017:YN2Y3QSZSRFLG6O7AZ7KWPLHHG

not attested not anchored not stored refs pending

Weighted entropy: basic inequalities

Izabella Stuhl, Mark Kelbert, Yuri Suhov

arxiv:1710.10798 v1 · 2017-10-30 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YN2Y3QSZSRFLG6O7AZ7KWPLHHG}

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	2026-05-18T00:31:46.469748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3758dc259944ab379df067eab3d67398591acf17dbfb15f3ddb9f528feeeb17

Aliases

arxiv: 1710.10798 · arxiv_version: 1710.10798v1 · doi: 10.48550/arxiv.1710.10798 · pith_short_12: YN2Y3QSZSRFL · pith_short_16: YN2Y3QSZSRFLG6O7 · pith_short_8: YN2Y3QSZ

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/YN2Y3QSZSRFLG6O7AZ7KWPLHHG \
  | 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: c3758dc259944ab379df067eab3d67398591acf17dbfb15f3ddb9f528feeeb17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a7ce1c04eec964aca62977b2f2010e4ace10e167ace9e7bcdaf78337dd8a9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-30T07:39:14Z",
    "title_canon_sha256": "805207427a14a41afa060e5dfea06d963a6a701b4e954f7fe6122d32a97a4941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10798",
    "kind": "arxiv",
    "version": 1
  }
}