Pith Number

pith:WL22CRSB

pith:2013:WL22CRSBVHGOFUMZ7H5C7ILLBR

not attested not anchored not stored refs pending

Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields

Caleb Shor, Tony Shaska

arxiv:1309.3812 v1 · 2013-09-16 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WL22CRSBVHGOFUMZ7H5C7ILLBR}

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	2026-05-17T23:44:49.765653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2f5a14641a9cce2d199f9fa2fa16b0c5a5125c87d57b808f37c79df51069030

Aliases

arxiv: 1309.3812 · arxiv_version: 1309.3812v1 · doi: 10.48550/arxiv.1309.3812 · pith_short_12: WL22CRSBVHGO · pith_short_16: WL22CRSBVHGOFUMZ · pith_short_8: WL22CRSB

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/WL22CRSBVHGOFUMZ7H5C7ILLBR \
  | 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: b2f5a14641a9cce2d199f9fa2fa16b0c5a5125c87d57b808f37c79df51069030

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "066707e5a3eabd51994ffc569b76fd5961ad4c280457c821d78b37a453fd1eaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-16T01:06:19Z",
    "title_canon_sha256": "c668a62d99668f04b1ab7269407822eebaae01e760efd8c8214b9c29d38da9b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3812",
    "kind": "arxiv",
    "version": 1
  }
}