Pith Number

pith:GAPOL5M6

pith:2012:GAPOL5M622CAJBFDCONC63O2CP

not attested not anchored not stored refs pending

An empty interval in the spectrum of small weight codewords in the code from points and k-spaces of PG(n, q)

Geertrui Van de Voorde, Leo Storme, Michel Lavrauw, Peter Sziklai

arxiv:1201.3297 v1 · 2012-01-16 · 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{GAPOL5M622CAJBFDCONC63O2CP}

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	2026-05-18T04:04:31.677659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

301ee5f59ed6840484a3139a2f6dda13e3a5fba0c2cf79f25b1ab1741202269b

Aliases

arxiv: 1201.3297 · arxiv_version: 1201.3297v1 · doi: 10.48550/arxiv.1201.3297 · pith_short_12: GAPOL5M622CA · pith_short_16: GAPOL5M622CAJBFD · pith_short_8: GAPOL5M6

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/GAPOL5M622CAJBFDCONC63O2CP \
  | 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: 301ee5f59ed6840484a3139a2f6dda13e3a5fba0c2cf79f25b1ab1741202269b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d699500f42953a34313f8b7f4dd8d5f3743038a6d33b5448d17c9d9062150a40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-16T16:01:05Z",
    "title_canon_sha256": "c599d8e631855da7757d434e765e51ea296a0f7a745b262c2c248ec30ed58c39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3297",
    "kind": "arxiv",
    "version": 1
  }
}