Pith Number

pith:JAIXRWFW

pith:2026:JAIXRWFWMI4EHOQPMRIAEBE6RY

not attested not anchored not stored refs pending

Solution Module and Linear Closure

I-Chiau Huang, I-Hsun Tsai

arxiv:2606.08392 v1 · 2026-06-07 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JAIXRWFWMI4EHOQPMRIAEBE6RY}

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	2026-06-09T01:05:35.481216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

481178d8b6623843ba0f645002049e8e0a59a386333278a8b76a58e748a9b753

Aliases

arxiv: 2606.08392 · arxiv_version: 2606.08392v1 · doi: 10.48550/arxiv.2606.08392 · pith_short_12: JAIXRWFWMI4E · pith_short_16: JAIXRWFWMI4EHOQP · pith_short_8: JAIXRWFW

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/JAIXRWFWMI4EHOQPMRIAEBE6RY \
  | 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: 481178d8b6623843ba0f645002049e8e0a59a386333278a8b76a58e748a9b753

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b0a5bfbd76cf46f36bb645fc730fa26103dd7e88956ae103edff8c86e2914e6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-07T01:09:43Z",
    "title_canon_sha256": "9bf3b3345e8ef8b1d15ce8b7911e1b0535363095f2139297cdf3f60af09262ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08392",
    "kind": "arxiv",
    "version": 1
  }
}