Pith Number

pith:ANGHEQVB

pith:2012:ANGHEQVBPABZTE7W2HE5TDPR5H

not attested not anchored not stored refs pending

Koszul complexes and spectra of projective hypersurfaces with isolated singularities

Alexandru Dimca, Morihiko Saito

arxiv:1212.1081 v5 · 2012-12-05 · 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{ANGHEQVBPABZTE7W2HE5TDPR5H}

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	2026-07-05T07:53:44.326425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

034c7242a178039993f6d1c9d98df1e9caa494cb32387357fc9914ac87c7ab09

Aliases

arxiv: 1212.1081 · arxiv_version: 1212.1081v5 · doi: 10.48550/arxiv.1212.1081 · pith_short_12: ANGHEQVBPABZ · pith_short_16: ANGHEQVBPABZTE7W · pith_short_8: ANGHEQVB

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/ANGHEQVBPABZTE7W2HE5TDPR5H \
  | 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: 034c7242a178039993f6d1c9d98df1e9caa494cb32387357fc9914ac87c7ab09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64c2c219b117b599eeaed61fbd36fd5f3e7a923a597f3ab93ae6c38192a9e0b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-05T16:10:33Z",
    "title_canon_sha256": "3b5e33016cc3dfe120bc3001cab8400a9157167fd0e60fd0626df1207dd774b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1081",
    "kind": "arxiv",
    "version": 5
  }
}