Pith Number

pith:AKTJPRPP

pith:2017:AKTJPRPPCUC2QSH43HK2ZQMIYN

not attested not anchored not stored refs pending

Symmetries of weight enumerators and applications to Reed-Muller codes

Martino Borello, Olivier Mila

arxiv:1707.00575 v2 · 2017-07-03 · cs.IT · math.CO · 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{AKTJPRPPCUC2QSH43HK2ZQMIYN}

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	2026-05-18T00:00:45.320083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02a697c5ef1505a848fcd9d5acc188c34179c76731806e644b67e91fd10573de

Aliases

arxiv: 1707.00575 · arxiv_version: 1707.00575v2 · doi: 10.48550/arxiv.1707.00575 · pith_short_12: AKTJPRPPCUC2 · pith_short_16: AKTJPRPPCUC2QSH4 · pith_short_8: AKTJPRPP

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/AKTJPRPPCUC2QSH43HK2ZQMIYN \
  | 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: 02a697c5ef1505a848fcd9d5acc188c34179c76731806e644b67e91fd10573de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26952afe69d4e8ba308a76e553956903b1ed5913b9617d7638ddfbdd7541055d",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-07-03T14:42:03Z",
    "title_canon_sha256": "79a0db560f173688743cdc193df49232ff167755fabd51629633730084326bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00575",
    "kind": "arxiv",
    "version": 2
  }
}