Pith Number

pith:A3Z3J5FV

pith:2018:A3Z3J5FVT64DIOJACHCWS5Q3IS

not attested not anchored not stored refs pending

Higher Gauss sums of modular categories

Andrew Schopieray, Siu-Hung Ng, Yilong Wang

arxiv:1812.11234 v2 · 2018-12-28 · math.QA · math.CT · 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{A3Z3J5FVT64DIOJACHCWS5Q3IS}

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	2026-07-05T00:10:33.094344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f3b4f4b59fb834392011c569761b44a4079976bf2957b85be66e9293c2e0bb

Aliases

arxiv: 1812.11234 · arxiv_version: 1812.11234v2 · doi: 10.48550/arxiv.1812.11234 · pith_short_12: A3Z3J5FVT64D · pith_short_16: A3Z3J5FVT64DIOJA · pith_short_8: A3Z3J5FV

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/A3Z3J5FVT64DIOJACHCWS5Q3IS \
  | 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: 06f3b4f4b59fb834392011c569761b44a4079976bf2957b85be66e9293c2e0bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "675a1c50945680d711975488fab377172d5a4ef6ea9999e83280953ebf269910",
    "cross_cats_sorted": [
      "math.CT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-12-28T22:11:19Z",
    "title_canon_sha256": "755771972607825483c60bb177b7579edf21a6021a0fa946d136132c548621e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11234",
    "kind": "arxiv",
    "version": 2
  }
}