Pith Number

pith:CDAT4Y2V

pith:2022:CDAT4Y2VHODQLLD33AYONLSPNE

not attested not anchored not stored refs pending

Equality cases in the Anantharam-Jog-Nair inequality

Albert Zhang, Efe Aras, Thomas A. Courtade

arxiv:2206.11809 v1 · 2022-06-23 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDAT4Y2VHODQLLD33AYONLSPNE}

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	2026-07-05T04:34:23.914702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10c13e63553b8705ac7bd830e6ae4f692be9951aac14009f9dacf43a1a88e9c6

Aliases

arxiv: 2206.11809 · arxiv_version: 2206.11809v1 · doi: 10.48550/arxiv.2206.11809 · pith_short_12: CDAT4Y2VHODQ · pith_short_16: CDAT4Y2VHODQLLD3 · pith_short_8: CDAT4Y2V

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/CDAT4Y2VHODQLLD33AYONLSPNE \
  | 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: 10c13e63553b8705ac7bd830e6ae4f692be9951aac14009f9dacf43a1a88e9c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bafc5a7c171262bb3721c6e1b21c05f32536b41770ff0b009594995e4d33f163",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2022-06-23T16:33:31Z",
    "title_canon_sha256": "01a7b728fb9af7f44eda397b92ededb0116c9c14c0ed80d05b25f102a4b3f2f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.11809",
    "kind": "arxiv",
    "version": 1
  }
}