Pith Number

pith:YJCP5CRU

pith:2019:YJCP5CRUPY4CGO5OAUKFPV2U7F

not attested not anchored not stored refs pending

Transportation Proof of an inequality by Anantharam, Jog and Nair

Thomas A. Courtade

arxiv:1901.10893 v2 · 2019-01-30 · cs.IT · math.FA · 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{YJCP5CRUPY4CGO5OAUKFPV2U7F}

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.

Cited by

1 paper in Pith

A Revisit to Rate-distortion Theory via Optimal Weak Transport

Receipt and verification

First computed	2026-05-17T23:55:02.854911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c244fe8a347e38233bae051457d754f952b14302e1269760d3f8a3dff8828c04

Aliases

arxiv: 1901.10893 · arxiv_version: 1901.10893v2 · doi: 10.48550/arxiv.1901.10893 · pith_short_12: YJCP5CRUPY4C · pith_short_16: YJCP5CRUPY4CGO5O · pith_short_8: YJCP5CRU

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/YJCP5CRUPY4CGO5OAUKFPV2U7F \
  | 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: c244fe8a347e38233bae051457d754f952b14302e1269760d3f8a3dff8828c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19eb150e0ac9c822af90e47759ccab64c0be1015048897eea460468d94d62f16",
    "cross_cats_sorted": [
      "math.FA",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-01-30T15:18:29Z",
    "title_canon_sha256": "99f6adb081e28f787ee409a0f111e51d6c142f6365e9f6f696beb38fd50d1530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10893",
    "kind": "arxiv",
    "version": 2
  }
}