Pith Number

pith:QCR33YBC

pith:2022:QCR33YBCXF7EZCCSMFDBVJXE6V

not attested not anchored not stored refs pending

Kernels of categorical resolutions of nodal singularities

Franco Giovenzana, Jieao Song, Laura Pertusi, Luigi Martinelli, Pablo Magni, Shengxuan Liu, Warren Cattani

arxiv:2209.12853 v2 · 2022-09-26 · 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{QCR33YBCXF7EZCCSMFDBVJXE6V}

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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

Categorical absorptions of singularities and degenerations

Receipt and verification

First computed	2026-07-05T06:08:08.910912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a3bde022b97e4c885261461aa6e4f5520505c94e03622d89a500453b0c5c1c

Aliases

arxiv: 2209.12853 · arxiv_version: 2209.12853v2 · doi: 10.48550/arxiv.2209.12853 · pith_short_12: QCR33YBCXF7E · pith_short_16: QCR33YBCXF7EZCCS · pith_short_8: QCR33YBC

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/QCR33YBCXF7EZCCSMFDBVJXE6V \
  | 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: 80a3bde022b97e4c885261461aa6e4f5520505c94e03622d89a500453b0c5c1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a11e2c4e7b41bfe4250e861527990839b50aeced70292869b12ef4ecab920f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-09-26T17:08:30Z",
    "title_canon_sha256": "2d6a7cf08deb1d63320ad49108fa5b4445798592de86b1c378afd7414c7f774e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.12853",
    "kind": "arxiv",
    "version": 2
  }
}