Pith Number

pith:3UBAYCKP

pith:2011:3UBAYCKPEOSZITVBHDTOCXX7AI

not attested not anchored not stored refs pending

Lexicographic products and the power of non-linear network coding

Anna Blasiak, Eyal Lubetzky, Robert Kleinberg

arxiv:1108.2489 v1 · 2011-08-11 · cs.IT · math.CO · 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{3UBAYCKPEOSZITVBHDTOCXX7AI}

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	2026-05-18T04:15:37.581892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd020c094f23a5944ea138e6e15eff0205e1897b20130cef4e4bcdfd4ccaf565

Aliases

arxiv: 1108.2489 · arxiv_version: 1108.2489v1 · doi: 10.48550/arxiv.1108.2489 · pith_short_12: 3UBAYCKPEOSZ · pith_short_16: 3UBAYCKPEOSZITVB · pith_short_8: 3UBAYCKP

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/3UBAYCKPEOSZITVBHDTOCXX7AI \
  | 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: dd020c094f23a5944ea138e6e15eff0205e1897b20130cef4e4bcdfd4ccaf565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bcbcd1555583bc585ad816433e0d04f8fc2abfa799e67ea76b26e0554ae8ebb",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-08-11T19:09:09Z",
    "title_canon_sha256": "c1f8d32d40144c320c184bcd24290a9133f44609a488bc66c5abe4c378134138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2489",
    "kind": "arxiv",
    "version": 1
  }
}