Pith Number

pith:DQTDQA2T

pith:2005:DQTDQA2TNXHDO3WYIUZ2JYYQ7Z

not attested not anchored not stored refs pending

Perfect single error-correcting codes in the Johnson Scheme

Daniel M. Gordon

arxiv:math/0508575 v2 · 2005-08-29 · 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{DQTDQA2TNXHDO3WYIUZ2JYYQ7Z}

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	2026-05-18T00:57:44.938756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c263803536dce376ed84533a4e310fe6ab8d9e9d12f40012031ef15db867469

Aliases

arxiv: math/0508575 · arxiv_version: math/0508575v2 · doi: 10.48550/arxiv.math/0508575 · pith_short_12: DQTDQA2TNXHD · pith_short_16: DQTDQA2TNXHDO3WY · pith_short_8: DQTDQA2T

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/DQTDQA2TNXHDO3WYIUZ2JYYQ7Z \
  | 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: 1c263803536dce376ed84533a4e310fe6ab8d9e9d12f40012031ef15db867469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afe9f6cb7abed90b9f049b3be4762c39dce249f72816ee2b0e964e148048f3dd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-08-29T17:11:08Z",
    "title_canon_sha256": "24b93c9c0d67385c9d1fd4845a44535ec833be96a9d49392b63db9410100d6b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508575",
    "kind": "arxiv",
    "version": 2
  }
}