Pith Number

pith:3234I7ZY

pith:2025:3234I7ZY2A2TRVGX6YJ37MQPI2

not attested not anchored not stored refs pending

Defect of projective hypersurfaces with isolated singularities

Morihiko Saito, Seung-Jo Jung

arxiv:2512.23522 v3 · 2025-12-29 · 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{3234I7ZY2A2TRVGX6YJ37MQPI2}

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

Roots of Bernstein-Sato polynomials for projective hypersurfaces with ordinary double points

Receipt and verification

First computed	2026-07-28T01:23:28.262119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb7c47f38d03538d4d7f613bfb20f469be25d8736803918743a1ffb9d234fdc

Aliases

arxiv: 2512.23522 · arxiv_version: 2512.23522v3 · doi: 10.48550/arxiv.2512.23522 · pith_short_12: 3234I7ZY2A2T · pith_short_16: 3234I7ZY2A2TRVGX · pith_short_8: 3234I7ZY

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/3234I7ZY2A2TRVGX6YJ37MQPI2 \
  | 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: deb7c47f38d03538d4d7f613bfb20f469be25d8736803918743a1ffb9d234fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da330105b273883b8c9f19b709a094b82a53df17028d55254ad0dcbc15c60399",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-12-29T14:59:10Z",
    "title_canon_sha256": "504d06f7b859372d36e0e520f8685b4238dde559ad334560f9013571b831749a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.23522",
    "kind": "arxiv",
    "version": 3
  }
}