Pith Number

pith:GO2DEZ2B

pith:2026:GO2DEZ2BIF2U3CBHNCTCQVALLN

not attested not anchored not stored refs pending

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

Morihiko Saito, Seung-Jo Jung

arxiv:2607.24142 v1 · 2026-07-27 · 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{GO2DEZ2BIF2U3CBHNCTCQVALLN}

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	2026-07-28T01:23:46.977505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33b432674141754d882768a628540b5b5eb7b8504fdd63a2a8880e58deffb5e1

Aliases

arxiv: 2607.24142 · arxiv_version: 2607.24142v1 · doi: 10.48550/arxiv.2607.24142 · pith_short_12: GO2DEZ2BIF2U · pith_short_16: GO2DEZ2BIF2U3CBH · pith_short_8: GO2DEZ2B

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/GO2DEZ2BIF2U3CBHNCTCQVALLN \
  | 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: 33b432674141754d882768a628540b5b5eb7b8504fdd63a2a8880e58deffb5e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eaa3a100ea1ccc217ccc1639bf4e1c98c9f0129bbcd3196d91e58f6221ef6d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-27T08:21:33Z",
    "title_canon_sha256": "b99f0af3fab4f5c3b332a8e247083c88c3beae5ae5ae2cc68f12e9dbf101e4e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24142",
    "kind": "arxiv",
    "version": 1
  }
}