Pith Number

pith:YOR7HSC4

pith:2013:YOR7HSC445MYCFPQBAJZTYWTHO

not attested not anchored not stored refs pending

Lie algebra generated by locally nilpotent derivations on Danielewski surfaces

Frank Kutzschebauch, Matthias Leuenberger

arxiv:1311.1075 v2 · 2013-11-05 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOR7HSC445MYCFPQBAJZTYWTHO}

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	2026-05-18T02:33:01.392088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3a3f3c85ce7598115f0081399e2d33b809facc8ac28571d96ae384063f2c621

Aliases

arxiv: 1311.1075 · arxiv_version: 1311.1075v2 · doi: 10.48550/arxiv.1311.1075 · pith_short_12: YOR7HSC445MY · pith_short_16: YOR7HSC445MYCFPQ · pith_short_8: YOR7HSC4

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/YOR7HSC445MYCFPQBAJZTYWTHO \
  | 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: c3a3f3c85ce7598115f0081399e2d33b809facc8ac28571d96ae384063f2c621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a2e1ddf7220e02780097b87941e6672f55dddf3fedc4c165061bd87a971c98c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-11-05T14:43:19Z",
    "title_canon_sha256": "7dbf714dc10970d4753168e0b67f0e29abb0456312ce65092d5fe13ba104ba26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1075",
    "kind": "arxiv",
    "version": 2
  }
}