Pith Number

pith:OL36QCNW

pith:2026:OL36QCNWO3MEHIVFYQZRTJSOSY

not attested not anchored not stored refs pending

n-trivial extensions and multi Hasse-Schmidt derivations

Daniel Duarte, Paul Barajas

arxiv:2605.20664 v1 · 2026-05-20 · 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{OL36QCNWO3MEHIVFYQZRTJSOSY}

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	2026-05-21T01:04:47.765444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72f7e809b676d843a2a5c43319a64e9633fbe3a6adecd8be2defa1b533008655

Aliases

arxiv: 2605.20664 · arxiv_version: 2605.20664v1 · doi: 10.48550/arxiv.2605.20664 · pith_short_12: OL36QCNWO3ME · pith_short_16: OL36QCNWO3MEHIVF · pith_short_8: OL36QCNW

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/OL36QCNWO3MEHIVFYQZRTJSOSY \
  | 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: 72f7e809b676d843a2a5c43319a64e9633fbe3a6adecd8be2defa1b533008655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df6ce4ac1bab474adf417c9db9c9becb7763fc6ad827c263cbdba424243a7e0f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-05-20T03:31:04Z",
    "title_canon_sha256": "d1647379561e2a936bcdb47537a365c1ca71805ae9cb9d1b1f89049eceff88c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20664",
    "kind": "arxiv",
    "version": 1
  }
}