Pith Number

pith:XRQFLNRP

pith:2023:XRQFLNRPLSKRBAV2SMBVQK3TG3

not attested not anchored not stored refs pending

Examples of Hirzebruch-Milnor classes of projective hypersurfaces detecting higher du Bois or rational singularities

Morihiko Saito

arxiv:2303.04724 v5 · 2023-03-08 · 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{XRQFLNRPLSKRBAV2SMBVQK3TG3}

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.

Cited by

1 paper in Pith

Tjurina spectrum and graded symmetry of missing spectral numbers

Receipt and verification

First computed	2026-07-05T06:48:05.634397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc6055b62f5c951082ba9303582b7336daa0731718f509863ecc91bc18714933

Aliases

arxiv: 2303.04724 · arxiv_version: 2303.04724v5 · doi: 10.48550/arxiv.2303.04724 · pith_short_12: XRQFLNRPLSKR · pith_short_16: XRQFLNRPLSKRBAV2 · pith_short_8: XRQFLNRP

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/XRQFLNRPLSKRBAV2SMBVQK3TG3 \
  | 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: bc6055b62f5c951082ba9303582b7336daa0731718f509863ecc91bc18714933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4090f70cf335fb8403962493e0a4d82347049e64ac72a7006e5b00506c2ddbbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-03-08T17:11:00Z",
    "title_canon_sha256": "e9d37831077d4466ac5bbf1e1ed60c994f66e5f8dfd00a5f6f6991b3422e5c8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.04724",
    "kind": "arxiv",
    "version": 5
  }
}