Pith Number

pith:OINHHGIW

pith:2013:OINHHGIWOLY6ESWET5BY252FO7

not attested not anchored not stored refs pending

Variational Equalities of Directed Information and Applications

Charalambos D. Charalambous, Photios A. Stavrou

arxiv:1301.6520 v2 · 2013-01-28 · 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{OINHHGIWOLY6ESWET5BY252FO7}

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	2026-05-18T03:25:34.674233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

721a73991672f1e24ac49f438d774577c9505b1167a16602ae7557bcd2e1045f

Aliases

arxiv: 1301.6520 · arxiv_version: 1301.6520v2 · doi: 10.48550/arxiv.1301.6520 · pith_short_12: OINHHGIWOLY6 · pith_short_16: OINHHGIWOLY6ESWE · pith_short_8: OINHHGIW

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/OINHHGIWOLY6ESWET5BY252FO7 \
  | 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: 721a73991672f1e24ac49f438d774577c9505b1167a16602ae7557bcd2e1045f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "753c6f500e608bca0ed74e960668312eb8b1bb27ba9b6d2f755eca5d4911c9a3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-28T12:04:55Z",
    "title_canon_sha256": "b7557c9a2d117bf3840a6a71fc192e4cbf1e341bd7d851fc8b23a39cff8c8d08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6520",
    "kind": "arxiv",
    "version": 2
  }
}