Pith Number

pith:NAOPRMYB

pith:2026:NAOPRMYBS35ZLWKFJGS5UNZHRQ

not attested not anchored not stored refs pending

GL-algebras in positive characteristic III: the divided power algebra

Karthik Ganapathy

arxiv:2608.00982 v1 · 2026-08-02 · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAOPRMYBS35ZLWKFJGS5UNZHRQ}

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	2026-08-04T01:56:09.763104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

681cf8b30196fb95d94549a5da37278c0a1b1e1e8489ddc9067462f3b21539b0

Aliases

arxiv: 2608.00982 · arxiv_version: 2608.00982v1 · doi: 10.48550/arxiv.2608.00982 · pith_short_12: NAOPRMYBS35Z · pith_short_16: NAOPRMYBS35ZLWKF · pith_short_8: NAOPRMYB

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/NAOPRMYBS35ZLWKFJGS5UNZHRQ \
  | 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: 681cf8b30196fb95d94549a5da37278c0a1b1e1e8489ddc9067462f3b21539b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef7312a77c65b8d4fec4e36da5738ca84b41b3504bb80e84355b4e3e64b215f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-08-02T04:27:19Z",
    "title_canon_sha256": "93199c3cf2ca710fde938b0bf071a61c538f4a07a76c5d943937e93d3c3f91a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00982",
    "kind": "arxiv",
    "version": 1
  }
}