Pith Number

pith:5TQXMFYS

pith:2017:5TQXMFYS62IBCVGQRLCRWZIBCL

not attested not anchored not stored refs pending

Some extensions of theorems of Kn\"orrer and Herzog-Popescu

Alex S. Dugas, Graham J. Leuschke

arxiv:1709.01916 v2 · 2017-09-06 · math.RT · 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{5TQXMFYS62IBCVGQRLCRWZIBCL}

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	2026-05-18T00:20:30.161172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece1761712f6901154d08ac51b650112dd085938f44e96e525063fdd60bd7583

Aliases

arxiv: 1709.01916 · arxiv_version: 1709.01916v2 · doi: 10.48550/arxiv.1709.01916 · pith_short_12: 5TQXMFYS62IB · pith_short_16: 5TQXMFYS62IBCVGQ · pith_short_8: 5TQXMFYS

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/5TQXMFYS62IBCVGQRLCRWZIBCL \
  | 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: ece1761712f6901154d08ac51b650112dd085938f44e96e525063fdd60bd7583

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "492bbee8632f0a57fc3bc49f8d2b7e02eb50c5c904b35a9f739fb3ebb47dd83e",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-06T17:47:22Z",
    "title_canon_sha256": "203a6bcab5001f16e867de3cb9d4e263a853ec53dee2021ba2d400b79e98ebb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01916",
    "kind": "arxiv",
    "version": 2
  }
}