Pith Number

pith:3J7AXV5I

pith:2023:3J7AXV5I53AV7R65ZFISS6LFOW

not attested not anchored not stored refs pending

Applications of perverse sheaves in commutative algebra

Anurag K. Singh, Bhargav Bhatt, Gennady Lyubeznik, Manuel Blickle, Wenliang Zhang

arxiv:2308.03155 v3 · 2023-08-06 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3J7AXV5I53AV7R65ZFISS6LFOW}

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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

A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves

Receipt and verification

First computed	2026-07-05T10:38:30.862388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da7e0bd7a8eec15fc7ddc9512979657594323878ab4e9706b1f1fe0a6bf60430

Aliases

arxiv: 2308.03155 · arxiv_version: 2308.03155v3 · doi: 10.48550/arxiv.2308.03155 · pith_short_12: 3J7AXV5I53AV · pith_short_16: 3J7AXV5I53AV7R65 · pith_short_8: 3J7AXV5I

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/3J7AXV5I53AV7R65ZFISS6LFOW \
  | 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: da7e0bd7a8eec15fc7ddc9512979657594323878ab4e9706b1f1fe0a6bf60430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e9fe221977258386b137b0f3808216b84b048703482fd6500e7e89ea60d7773",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-08-06T16:19:14Z",
    "title_canon_sha256": "db5e4a9de5caf16c9b01ce7be4c530282abf687744570791cc4a25f9a2feb91d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.03155",
    "kind": "arxiv",
    "version": 3
  }
}