Pith Number

pith:4V2WUV2F

pith:2015:4V2WUV2F5D6EZPBFFV3Z22MUDU

not attested not anchored not stored refs pending

Lattices with non-Shannon Inequalities

Peter Harremo\"es

arxiv:1502.04336 v1 · 2015-02-15 · 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{4V2WUV2F5D6EZPBFFV3Z22MUDU}

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	2026-05-18T02:26:59.936768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5756a5745e8fc4cbc252d779d69941d25e6448da8098d399384ed5f7adfd4a0

Aliases

arxiv: 1502.04336 · arxiv_version: 1502.04336v1 · doi: 10.48550/arxiv.1502.04336 · pith_short_12: 4V2WUV2F5D6E · pith_short_16: 4V2WUV2F5D6EZPBF · pith_short_8: 4V2WUV2F

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/4V2WUV2F5D6EZPBFFV3Z22MUDU \
  | 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: e5756a5745e8fc4cbc252d779d69941d25e6448da8098d399384ed5f7adfd4a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b134b8f9483ca2852e1d6c0b9769894f207433e504fc14fbb6ee484ecea2accc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-02-15T16:59:48Z",
    "title_canon_sha256": "d3d1968b070f0a71269418e97f37a78f76b3f6619d65238871606f0fd9b8c45f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04336",
    "kind": "arxiv",
    "version": 1
  }
}