Pith Number

pith:Q45SQOEE

pith:2009:Q45SQOEEBOKPEPAXAHEOYNQUQK

not attested not anchored not stored refs pending

Codes on graphs: Duality and MacWilliams identities

G. David Forney Jr

arxiv:0911.5508 v4 · 2009-11-29 · 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{Q45SQOEEBOKPEPAXAHEOYNQUQK}

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	2026-05-18T04:35:05.179384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

873b2838840b94f23c1701c8ec3614828235111aeb1f5b18bfe0e9b096dd932f

Aliases

arxiv: 0911.5508 · arxiv_version: 0911.5508v4 · doi: 10.48550/arxiv.0911.5508 · pith_short_12: Q45SQOEEBOKP · pith_short_16: Q45SQOEEBOKPEPAX · pith_short_8: Q45SQOEE

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/Q45SQOEEBOKPEPAXAHEOYNQUQK \
  | 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: 873b2838840b94f23c1701c8ec3614828235111aeb1f5b18bfe0e9b096dd932f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d5587f5628a807b109b7052d7d97385a0eb170569d5ad904241d70da036493",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-11-29T19:03:01Z",
    "title_canon_sha256": "513f5030f8d5d166a7946f51ed884e4edc9fe9a573f1c9a661fff7bfda4013b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5508",
    "kind": "arxiv",
    "version": 4
  }
}