Pith Number

pith:TSKDQLIO

pith:2025:TSKDQLIOR2NHJMIXT5OMILZT7Y

not attested not anchored not stored refs pending

Spectrum of cones of projective hypersurfaces with singularities isolated

Morihiko Saito, Seung-Jo Jung, Youngho Yoon

arxiv:2504.16721 v2 · 2025-04-23 · 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{TSKDQLIOR2NHJMIXT5OMILZT7Y}

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	2026-07-05T11:49:53.791384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c94382d0e8e9a74b1179f5cc42f33fe2b627a84429b8ec16118c77da5b8cf81

Aliases

arxiv: 2504.16721 · arxiv_version: 2504.16721v2 · doi: 10.48550/arxiv.2504.16721 · pith_short_12: TSKDQLIOR2NH · pith_short_16: TSKDQLIOR2NHJMIX · pith_short_8: TSKDQLIO

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/TSKDQLIOR2NHJMIXT5OMILZT7Y \
  | 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: 9c94382d0e8e9a74b1179f5cc42f33fe2b627a84429b8ec16118c77da5b8cf81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed9be092de8badd4a815f907982b87e87ed8e8aa3b3e3c2520c81ddd8fba3c11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-23T13:51:18Z",
    "title_canon_sha256": "4ab4b0befd47febed771f942b46d745d39526b2cc6fad61e0c71b0b9d4fd4b3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16721",
    "kind": "arxiv",
    "version": 2
  }
}