Pith Number

pith:AHCYQF3Q

pith:2024:AHCYQF3QWRZE7K2EV3PTSRPBH2

not attested not anchored not stored refs pending

Closedness of the singular locus and generation for derived categories

Pat Lank, Souvik Dey

arxiv:2403.19564 v2 · 2024-03-28 · math.AG · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHCYQF3QWRZE7K2EV3PTSRPBH2}

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	2026-07-05T11:36:19.734332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01c5881770b4724fab44aedf3945e13eb20c670181068eb34338a02d288877d0

Aliases

arxiv: 2403.19564 · arxiv_version: 2403.19564v2 · doi: 10.48550/arxiv.2403.19564 · pith_short_12: AHCYQF3QWRZE · pith_short_16: AHCYQF3QWRZE7K2E · pith_short_8: AHCYQF3Q

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/AHCYQF3QWRZE7K2EV3PTSRPBH2 \
  | 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: 01c5881770b4724fab44aedf3945e13eb20c670181068eb34338a02d288877d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36bda6ab3d9cbfe210aaebd54f8a76c9c3d4022ade06df6b309625514c312d85",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-03-28T16:48:11Z",
    "title_canon_sha256": "30439aebe58f28b39e5ae3b76de06f85c098f05e9f7de4c32974a4eb4f67a929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.19564",
    "kind": "arxiv",
    "version": 2
  }
}