Pith Number

pith:IEM3W5CD

pith:2026:IEM3W5CDLW7QST3AXKXWUKPAE3

not attested not anchored not stored refs pending

Coset-refined trace statistics, nodal characters, and affine branches in cubic norm tori

Henry Shin

arxiv:2605.21939 v1 · 2026-05-21 · 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{IEM3W5CDLW7QST3AXKXWUKPAE3}

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	2026-05-22T01:04:15.901422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4119bb74435dbf094f60baaf6a29e026fbf6dc7dc2cbd18a5f2a4796801af0a4

Aliases

arxiv: 2605.21939 · arxiv_version: 2605.21939v1 · doi: 10.48550/arxiv.2605.21939 · pith_short_12: IEM3W5CDLW7Q · pith_short_16: IEM3W5CDLW7QST3A · pith_short_8: IEM3W5CD

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/IEM3W5CDLW7QST3AXKXWUKPAE3 \
  | 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: 4119bb74435dbf094f60baaf6a29e026fbf6dc7dc2cbd18a5f2a4796801af0a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2305b9652a132b9df8b7b3b04c08488c07b38848986c605387d74cb558ab9a27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-21T03:18:50Z",
    "title_canon_sha256": "2826731f4a747609f788f2ff18e22bbade5b7d8bd89de0c3e3f0bdd3b97a49ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21939",
    "kind": "arxiv",
    "version": 1
  }
}