Pith Number

pith:GGMYEZEJ

pith:2026:GGMYEZEJB4ND5RQCRXU6UED476

not attested not anchored not stored refs pending

A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form

Akiva Groskin

arxiv:2607.02828 v1 · 2026-07-02 · math.NT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGMYEZEJB4ND5RQCRXU6UED476}

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	2026-07-07T00:16:19.461125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31998264890f1a3ec6028de9ea107cffa83f5b533b936de49cfd3b6ad526cd99

Aliases

arxiv: 2607.02828 · arxiv_version: 2607.02828v1 · doi: 10.48550/arxiv.2607.02828 · pith_short_12: GGMYEZEJB4ND · pith_short_16: GGMYEZEJB4ND5RQC · pith_short_8: GGMYEZEJ

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/GGMYEZEJB4ND5RQCRXU6UED476 \
  | 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: 31998264890f1a3ec6028de9ea107cffa83f5b533b936de49cfd3b6ad526cd99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5421a84d476530d050a53c4a7bafd8915b4ab217e38e36788f84b272b7559c4",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-02T23:39:38Z",
    "title_canon_sha256": "385a42e7cbe7f953b2527dceb3e3581faf1becdfa06fe94499fef1c70b8ae5f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02828",
    "kind": "arxiv",
    "version": 1
  }
}