Pith Number

pith:XWWGQ4XU

pith:2017:XWWGQ4XUCO4R5LXFUCNMCLCBCM

not attested not anchored not stored refs pending

A categorical characterization of relative entropy on standard Borel spaces

Nicolas Gagne, Prakash Panangaden

arxiv:1703.08853 v6 · 2017-03-26 · 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{XWWGQ4XUCO4R5LXFUCNMCLCBCM}

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	2026-07-05T07:44:37.705524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdac6872f413b91eaee5a09ac12c41131aafe79eedeb2d75b34f5b28f9b17d37

Aliases

arxiv: 1703.08853 · arxiv_version: 1703.08853v6 · doi: 10.48550/arxiv.1703.08853 · pith_short_12: XWWGQ4XUCO4R · pith_short_16: XWWGQ4XUCO4R5LXF · pith_short_8: XWWGQ4XU

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/XWWGQ4XUCO4R5LXFUCNMCLCBCM \
  | 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: bdac6872f413b91eaee5a09ac12c41131aafe79eedeb2d75b34f5b28f9b17d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee000005a98b0bd6b69764cc80226c8af9ec108557343bbec0f2f16bc9654aac",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-03-26T17:14:20Z",
    "title_canon_sha256": "85fcfb4e8365bdb0f9c5d32cc16e10a17431f1894b0bf97c0b061e7f2b3a6a1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08853",
    "kind": "arxiv",
    "version": 6
  }
}