Pith Number

pith:5PY6JM36

pith:2018:5PY6JM36K2XSD5NYMS5R4DMUMJ

not attested not anchored not stored refs pending

An entropy inequality for symmetric random variables

Jing Hao, Varun Jog

arxiv:1801.03868 v1 · 2018-01-11 · cs.IT · math.IT · 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{5PY6JM36K2XSD5NYMS5R4DMUMJ}

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	2026-05-18T00:26:07.079971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf1e4b37e56af21f5b864bb1e0d94625f01093c2a23a9757fd3c01ee2c8153d

Aliases

arxiv: 1801.03868 · arxiv_version: 1801.03868v1 · doi: 10.48550/arxiv.1801.03868 · pith_short_12: 5PY6JM36K2XS · pith_short_16: 5PY6JM36K2XSD5NY · pith_short_8: 5PY6JM36

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/5PY6JM36K2XSD5NYMS5R4DMUMJ \
  | 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: ebf1e4b37e56af21f5b864bb1e0d94625f01093c2a23a9757fd3c01ee2c8153d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0038100d6ebb7a2f104cfc77bd65391941ba3432d195c3a353fc58022ee0985",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-01-11T16:56:21Z",
    "title_canon_sha256": "4c60043672ee7e0eeb40fc46e8ce6ebcb9164a4c57855201be5be3270cd10ebf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03868",
    "kind": "arxiv",
    "version": 1
  }
}