Pith Number

pith:KRKCDE65

pith:2015:KRKCDE65HQNGQJLKBROFQ4ONAO

not attested not anchored not stored refs pending

A new characterization of quadratic transportation-information inequalities

Yuan Liu

arxiv:1506.02489 v3 · 2015-06-08 · 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{KRKCDE65HQNGQJLKBROFQ4ONAO}

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	2026-05-18T01:12:49.890949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54542193dd3c1a68256a0c5c5871cd03ad992d347634e3c326853112219c281d

Aliases

arxiv: 1506.02489 · arxiv_version: 1506.02489v3 · doi: 10.48550/arxiv.1506.02489 · pith_short_12: KRKCDE65HQNG · pith_short_16: KRKCDE65HQNGQJLK · pith_short_8: KRKCDE65

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/KRKCDE65HQNGQJLKBROFQ4ONAO \
  | 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: 54542193dd3c1a68256a0c5c5871cd03ad992d347634e3c326853112219c281d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beba0c1a574c08f9721b6daf07812ad4cccad14a36d9e08aa9126320d771f1a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-08T13:35:28Z",
    "title_canon_sha256": "67177cfc6e129cab794b51f08a82b983df4254132105ba534c60fb60c68bc80f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02489",
    "kind": "arxiv",
    "version": 3
  }
}