Pith Number

pith:A6MHFJWW

pith:2016:A6MHFJWW47OLP26YSE5NS7ABDO

not attested not anchored not stored refs pending

Ext and Tor on two-dimensional cyclic quotient singularities

Lars Kastner

arxiv:1601.05673 v2 · 2016-01-21 · math.AG · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6MHFJWW47OLP26YSE5NS7ABDO}

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	2026-05-18T01:15:32.081494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

079872a6d6e7dcb7ebd8913ad97c011ba64ccd2736a9904994b286ae62b2dd3a

Aliases

arxiv: 1601.05673 · arxiv_version: 1601.05673v2 · doi: 10.48550/arxiv.1601.05673 · pith_short_12: A6MHFJWW47OL · pith_short_16: A6MHFJWW47OLP26Y · pith_short_8: A6MHFJWW

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/A6MHFJWW47OLP26YSE5NS7ABDO \
  | 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: 079872a6d6e7dcb7ebd8913ad97c011ba64ccd2736a9904994b286ae62b2dd3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87bb86669ebe081231e0fd3b90ea3f038b01d5ec2341d883a6f615a63ddcd45a",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-21T15:19:58Z",
    "title_canon_sha256": "df3703d9c0ebf6ab7b41f820672971569bfb94e61a08093de8457ad9f2c6c203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05673",
    "kind": "arxiv",
    "version": 2
  }
}