Pith Number

pith:ZOAFC322

pith:2012:ZOAFC322N5OHRKRNEI5QEIHQI5

not attested not anchored not stored refs pending

Directed Information on Abstract spaces: Properties and Extremum Problems

Charalambos D. Charalambous, Photios A. Stavrou

arxiv:1202.0958 v2 · 2012-02-05 · 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{ZOAFC322N5OHRKRNEI5QEIHQI5}

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	2026-05-18T03:55:13.951087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb80516f5a6f5c78aa2d223b0220f0474e28b0ba2a527f77c30f2bafced86ca7

Aliases

arxiv: 1202.0958 · arxiv_version: 1202.0958v2 · doi: 10.48550/arxiv.1202.0958 · pith_short_12: ZOAFC322N5OH · pith_short_16: ZOAFC322N5OHRKRN · pith_short_8: ZOAFC322

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/ZOAFC322N5OHRKRNEI5QEIHQI5 \
  | 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: cb80516f5a6f5c78aa2d223b0220f0474e28b0ba2a527f77c30f2bafced86ca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9043f3642e823f227baa9268e574975d85046cdedddb854a1869ed77b83ba6ff",
    "cross_cats_sorted": [
      "math.FA",
      "math.IT",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-05T12:45:48Z",
    "title_canon_sha256": "e75953d26fef7c275e208effe26b4d8a436b2843d8e82488bfeb436577ae03ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0958",
    "kind": "arxiv",
    "version": 2
  }
}