Pith Number

pith:M3A6JURY

pith:2013:M3A6JURY3F3NHKDK2LMYPAPOVK

not attested not anchored not stored refs pending

MacWilliams Type identities for $m$-spotty Rosenbloom-Tsfasman weight enumerators over finite commutative Frobenius rings

Minjia Shi

arxiv:1307.2555 v1 · 2013-07-06 · cs.IT · 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{M3A6JURY3F3NHKDK2LMYPAPOVK}

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	2026-05-18T03:18:52.196919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c1e4d238d976d3a86ad2d98781eeaaa0da3f0700b1f4dd7bf250f9870f0a13

Aliases

arxiv: 1307.2555 · arxiv_version: 1307.2555v1 · doi: 10.48550/arxiv.1307.2555 · pith_short_12: M3A6JURY3F3N · pith_short_16: M3A6JURY3F3NHKDK · pith_short_8: M3A6JURY

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/M3A6JURY3F3NHKDK2LMYPAPOVK \
  | 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: 66c1e4d238d976d3a86ad2d98781eeaaa0da3f0700b1f4dd7bf250f9870f0a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85b9337976256d6bb33f9be70a0b75e5140c330b7d599b24c87ffa51f84762e0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-06T14:08:27Z",
    "title_canon_sha256": "acd2da5147a8de3066382d56696e75b53f2b3d6195b67e6173e1ffa8854a4551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2555",
    "kind": "arxiv",
    "version": 1
  }
}