Pith Number

pith:HDBYVKP3

pith:2016:HDBYVKP3BWBP6H4JOFQM4QG2IU

not attested not anchored not stored refs pending

The Ziegler spectrum of the D-infinity plane singularity

Gena Puninski, Inna Los

arxiv:1612.00002 v1 · 2016-11-30 · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HDBYVKP3BWBP6H4JOFQM4QG2IU}

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	2026-05-18T00:56:07.043967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38c38aa9fb0d82ff1f897160ce40da4538d0ed8704a2a592b2f18615cd5640d6

Aliases

arxiv: 1612.00002 · arxiv_version: 1612.00002v1 · doi: 10.48550/arxiv.1612.00002 · pith_short_12: HDBYVKP3BWBP · pith_short_16: HDBYVKP3BWBP6H4J · pith_short_8: HDBYVKP3

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/HDBYVKP3BWBP6H4JOFQM4QG2IU \
  | 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: 38c38aa9fb0d82ff1f897160ce40da4538d0ed8704a2a592b2f18615cd5640d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c640142b38a5fc01b3a7f98af755afd604d366df53aef3f163428db3ac3b04f2",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-11-30T13:34:53Z",
    "title_canon_sha256": "ad2b835090a61d83ede320875e802b334c93b91fdcbda6359b4928b0dc40b883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00002",
    "kind": "arxiv",
    "version": 1
  }
}