Pith Number

pith:3DH3SD6Z

pith:2017:3DH3SD6Z47SLI6UPFLUC6BVSNA

not attested not anchored not stored refs pending

Bounds on the Entropy of a Function of a Random Variable and their Applications

Ferdinando Cicalese, Luisa Gargano, Ugo Vaccaro

arxiv:1712.07906 v1 · 2017-12-21 · cs.IT · cs.DS · 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{3DH3SD6Z47SLI6UPFLUC6BVSNA}

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	2026-05-18T00:27:29.384274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8cfb90fd9e7e4b47a8f2ae82f06b268133dcdf5147312e8f150a92005c98ef4

Aliases

arxiv: 1712.07906 · arxiv_version: 1712.07906v1 · doi: 10.48550/arxiv.1712.07906 · pith_short_12: 3DH3SD6Z47SL · pith_short_16: 3DH3SD6Z47SLI6UP · pith_short_8: 3DH3SD6Z

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/3DH3SD6Z47SLI6UPFLUC6BVSNA \
  | 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: d8cfb90fd9e7e4b47a8f2ae82f06b268133dcdf5147312e8f150a92005c98ef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d73e9914c43f8d4ef3ae15316ba486237320e3200a64335a39a07994ae979a7",
    "cross_cats_sorted": [
      "cs.DS",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-12-21T12:28:48Z",
    "title_canon_sha256": "b2587aef4159bcbf5ffefcdbd8ce33c27da7c4ab647e7f4d8b6ed39644427ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07906",
    "kind": "arxiv",
    "version": 1
  }
}