Pith Number

pith:QW34CXWM

pith:2017:QW34CXWMWZLZ7UVCK6NKWU627M

not attested not anchored not stored refs pending

Relative singular locus and Balmer spectrum of matrix factorizations

Yuki Hirano

arxiv:1701.02573 v2 · 2017-01-10 · math.AG · math.CT · 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{QW34CXWMWZLZ7UVCK6NKWU627M}

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	2026-05-18T00:25:39.680189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b7c15eccb6579fd2a2579aab53dafb3199574c1d37c2af2be79b1bbad7520d

Aliases

arxiv: 1701.02573 · arxiv_version: 1701.02573v2 · doi: 10.48550/arxiv.1701.02573 · pith_short_12: QW34CXWMWZLZ · pith_short_16: QW34CXWMWZLZ7UVC · pith_short_8: QW34CXWM

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/QW34CXWMWZLZ7UVCK6NKWU627M \
  | 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: 85b7c15eccb6579fd2a2579aab53dafb3199574c1d37c2af2be79b1bbad7520d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d73fb6e83afc6ddc60dd225d8979006e859d24baa55d5919ba66f4075165ccc",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-10T13:11:10Z",
    "title_canon_sha256": "cc183a87d6115459a73f76305797a5c930e20b71592267dd78780e6d09a7cc8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02573",
    "kind": "arxiv",
    "version": 2
  }
}