Pith Number

pith:4NZZB7HA

pith:2004:4NZZB7HAGVS7R2Z2LPR3SWZ4XW

not attested not anchored not stored refs pending

The asymptotic number of binary codes and binary matroids

Marcel Wild

arxiv:cs/0408011 v1 · 2004-08-04 · cs.IT · cs.DM · 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{4NZZB7HAGVS7R2Z2LPR3SWZ4XW}

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	2026-05-18T00:49:47.615752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e37390fce03565f8eb3a5be3b95b3cbdb08dcaf1a3fe94017b9968cbf5a0dcd1

Aliases

arxiv: cs/0408011 · arxiv_version: cs/0408011v1 · doi: 10.48550/arxiv.cs/0408011 · pith_short_12: 4NZZB7HAGVS7 · pith_short_16: 4NZZB7HAGVS7R2Z2 · pith_short_8: 4NZZB7HA

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/4NZZB7HAGVS7R2Z2LPR3SWZ4XW \
  | 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: e37390fce03565f8eb3a5be3b95b3cbdb08dcaf1a3fe94017b9968cbf5a0dcd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93074281026ef617e2616ddf1f9a36e0bbbd657ba7ce2dea979c40ebf95bb4a0",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2004-08-04T14:46:49Z",
    "title_canon_sha256": "f30dcbac6dcd65ed587ba8ee89e7248b6036a2435af2c9f7688fcfd5ae842e2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0408011",
    "kind": "arxiv",
    "version": 1
  }
}