Pith Number

pith:XVMCQY2F

pith:2013:XVMCQY2FPBBCDTOYW2QFQNTQQW

not attested not anchored not stored refs pending

An optimal problem for relative entropy

Fan Wang, Jun Zhu, Lin Zhang

arxiv:1304.0270 v1 · 2013-04-01 · 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{XVMCQY2FPBBCDTOYW2QFQNTQQW}

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	2026-05-18T03:29:17.425187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd58286345784221cdd8b6a0583670858afc3adbb4ebaab37edfd87bb8cb6feb

Aliases

arxiv: 1304.0270 · arxiv_version: 1304.0270v1 · doi: 10.48550/arxiv.1304.0270 · pith_short_12: XVMCQY2FPBBC · pith_short_16: XVMCQY2FPBBCDTOY · pith_short_8: XVMCQY2F

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/XVMCQY2FPBBCDTOYW2QFQNTQQW \
  | 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: bd58286345784221cdd8b6a0583670858afc3adbb4ebaab37edfd87bb8cb6feb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a16cb5ad88e6e664b5754ed4d1c0775dea242bc5b554ea3b8bee258f30648c97",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-04-01T00:53:08Z",
    "title_canon_sha256": "188084b2e06094cf812fe40a18266722a05c7ced70fd746939f2188cd2fe69e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0270",
    "kind": "arxiv",
    "version": 1
  }
}