Pith Number

pith:NMR7Y2FU

pith:2016:NMR7Y2FUZKVMOWCP3ZBNJQE4EW

not attested not anchored not stored refs pending

The Ziegler spectrum and Ringel's quilt of the A-infinity plane singularity

Gena Puninski

arxiv:1606.02085 v1 · 2016-06-07 · math.RA · 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{NMR7Y2FUZKVMOWCP3ZBNJQE4EW}

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	2026-05-18T01:12:44.647402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b23fc68b4caaac7584fde42d4c09c259756b7291a00596a6c7f4a72f9cfb039

Aliases

arxiv: 1606.02085 · arxiv_version: 1606.02085v1 · doi: 10.48550/arxiv.1606.02085 · pith_short_12: NMR7Y2FUZKVM · pith_short_16: NMR7Y2FUZKVMOWCP · pith_short_8: NMR7Y2FU

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/NMR7Y2FUZKVMOWCP3ZBNJQE4EW \
  | 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: 6b23fc68b4caaac7584fde42d4c09c259756b7291a00596a6c7f4a72f9cfb039

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b5a2c3fd6dd4cb7beb83c473f8d23c0b3ef2e5371938d1f0a38a1c223930ee",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-06-07T10:23:14Z",
    "title_canon_sha256": "c8818891ae88dd9703dfb5d07c5106b02a9fd0b4d593af8ba28c480dd48be57f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02085",
    "kind": "arxiv",
    "version": 1
  }
}