Pith Number

pith:PK3MMJ2T

pith:2015:PK3MMJ2TLR5JE3BXMTGKSXMXRZ

not attested not anchored not stored refs pending

Matrix factorizations for domestic triangle singularities

Dawid Edmund K\k{e}dzierski, Hagen Meltzer, Helmut Lenzing

arxiv:1507.07832 v1 · 2015-07-28 · 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{PK3MMJ2TLR5JE3BXMTGKSXMXRZ}

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	2026-05-18T01:36:11.783774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab6c627535c7a926c3764cca95d978e4d94badd0b7a613ee4bd201d0213ca4b

Aliases

arxiv: 1507.07832 · arxiv_version: 1507.07832v1 · doi: 10.48550/arxiv.1507.07832 · pith_short_12: PK3MMJ2TLR5J · pith_short_16: PK3MMJ2TLR5JE3BX · pith_short_8: PK3MMJ2T

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/PK3MMJ2TLR5JE3BXMTGKSXMXRZ \
  | 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: 7ab6c627535c7a926c3764cca95d978e4d94badd0b7a613ee4bd201d0213ca4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8506ca4e747d630a91e89ac901c02db5d4b2b525b3893919351808643cc31c77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-28T16:26:18Z",
    "title_canon_sha256": "42021c23f4c00b10c3ccb189835137bb127a0b82cff138d6ec323f5e2e9ea331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07832",
    "kind": "arxiv",
    "version": 1
  }
}