Pith Number

pith:DTKX3PZF

pith:2025:DTKX3PZFWPKMXCSKLQRJ23FSZ4

not attested not anchored not stored refs pending

Involution on the Graded Grothendieck Ring of Varieties and $\mathbb{D}$-Singularities

Andrew Burke

arxiv:2508.17587 v1 · 2025-08-25 · 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{DTKX3PZFWPKMXCSKLQRJ23FSZ4}

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	2026-07-05T11:58:44.124159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd57dbf25b3d4cb8a4a5c229d6cb2cf3afbd6d6277b77d66cec1741598f7015

Aliases

arxiv: 2508.17587 · arxiv_version: 2508.17587v1 · doi: 10.48550/arxiv.2508.17587 · pith_short_12: DTKX3PZFWPKM · pith_short_16: DTKX3PZFWPKMXCSK · pith_short_8: DTKX3PZF

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/DTKX3PZFWPKMXCSKLQRJ23FSZ4 \
  | 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: 1cd57dbf25b3d4cb8a4a5c229d6cb2cf3afbd6d6277b77d66cec1741598f7015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a877d632bf2e69c301728eacebe6dc3bac027f454d140b263dc974d9f508047e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-25T01:16:50Z",
    "title_canon_sha256": "eb82618094c5081bf842e52a4c134a3a771006ebae6b04a764eeac29d35ea5f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.17587",
    "kind": "arxiv",
    "version": 1
  }
}