Pith Number

pith:DJCWLJFP

pith:2017:DJCWLJFPSIR36DCQHRAQPXBMYV

not attested not anchored not stored refs pending

A Minimal Set of Shannon-type Inequalities for Functional Dependence Structures

Alex Grant, Satyajit Thakor, Terence Chan

arxiv:1706.03513 v1 · 2017-06-12 · 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{DJCWLJFPSIR36DCQHRAQPXBMYV}

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	2026-05-18T00:42:34.466382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a4565a4af9223bf0c503c4107dc2cc57351e3a833a7cc8cdf6d38fcfa64939d

Aliases

arxiv: 1706.03513 · arxiv_version: 1706.03513v1 · doi: 10.48550/arxiv.1706.03513 · pith_short_12: DJCWLJFPSIR3 · pith_short_16: DJCWLJFPSIR36DCQ · pith_short_8: DJCWLJFP

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/DJCWLJFPSIR36DCQHRAQPXBMYV \
  | 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: 1a4565a4af9223bf0c503c4107dc2cc57351e3a833a7cc8cdf6d38fcfa64939d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b040baab1f5bacd9863713643a258eac88914380ce7f8604cf096ee8a9cdea88",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-06-12T08:47:07Z",
    "title_canon_sha256": "919efbda5a2dda6d24112000910df9959e45a526e35f3346aa8ab60ef9cef34e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03513",
    "kind": "arxiv",
    "version": 1
  }
}