Pith Number

pith:L4FSPVE4

pith:2006:L4FSPVE4JHHMCGYAVL4RVWQHT3

not attested not anchored not stored refs pending

Gleason's Theorem on Self-Dual Codes and Its Generalizations

N. J. A. Sloane

arxiv:math/0612535 v1 · 2006-12-19 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4FSPVE4JHHMCGYAVL4RVWQHT3}

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	2026-05-18T02:42:39.968580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0b27d49c49cec11b00aaf91ada079ee112ac7bd6a79e536f847de7b341fa77

Aliases

arxiv: math/0612535 · arxiv_version: math/0612535v1 · doi: 10.48550/arxiv.math/0612535 · pith_short_12: L4FSPVE4JHHM · pith_short_16: L4FSPVE4JHHMCGYA · pith_short_8: L4FSPVE4

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/L4FSPVE4JHHMCGYAVL4RVWQHT3 \
  | 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: 5f0b27d49c49cec11b00aaf91ada079ee112ac7bd6a79e536f847de7b341fa77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5811a4787a85906b5f840674a4ae295a03e69719365134c90ca3439da0022e13",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-12-19T04:34:08Z",
    "title_canon_sha256": "5739e1d92f994868c12eaeefd5b607f19babcd4f68f4d74c7ec65896e854ae35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612535",
    "kind": "arxiv",
    "version": 1
  }
}