Pith Number

pith:BWJBJOY3

pith:2013:BWJBJOY3UTKGGMQVNCOAUUZLTR

not attested not anchored not stored refs pending

Equivalence of Two Proof Techniques for Non-Shannon-type Inequalities

Tarik Kaced

arxiv:1302.2994 v1 · 2013-02-13 · cs.IT · 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{BWJBJOY3UTKGGMQVNCOAUUZLTR}

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	2026-05-18T03:33:49.108077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d9214bb1ba4d4633215689c0a532b9c7a85edd2301b6433e0b7206c10d91181

Aliases

arxiv: 1302.2994 · arxiv_version: 1302.2994v1 · doi: 10.48550/arxiv.1302.2994 · pith_short_12: BWJBJOY3UTKG · pith_short_16: BWJBJOY3UTKGGMQV · pith_short_8: BWJBJOY3

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/BWJBJOY3UTKGGMQVNCOAUUZLTR \
  | 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: 0d9214bb1ba4d4633215689c0a532b9c7a85edd2301b6433e0b7206c10d91181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341eb9e50c42b9994b3e83c6f240416c92f2901df3aa2e8d2e8fb8cbcdae91b3",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-02-13T06:42:35Z",
    "title_canon_sha256": "5f3c55142df4aba67ffb44e121694c4e851fe5085cf9e52048c3fa6938554771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2994",
    "kind": "arxiv",
    "version": 1
  }
}