Pith Number

pith:5VGVWHYC

pith:2015:5VGVWHYCAJX4F3JHTONBJMHVGJ

not attested not anchored not stored refs pending

Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces

Angelo Calil Bianchi, Marcelo Oliveira Veloso

arxiv:1506.00164 v1 · 2015-05-30 · 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{5VGVWHYCAJX4F3JHTONBJMHVGJ}

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	2026-05-18T00:43:21.352951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed4d5b1f02026fc2ed279b9a14b0f532400108618b19b7cb471a808343291304

Aliases

arxiv: 1506.00164 · arxiv_version: 1506.00164v1 · doi: 10.48550/arxiv.1506.00164 · pith_short_12: 5VGVWHYCAJX4 · pith_short_16: 5VGVWHYCAJX4F3JH · pith_short_8: 5VGVWHYC

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/5VGVWHYCAJX4F3JHTONBJMHVGJ \
  | 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: ed4d5b1f02026fc2ed279b9a14b0f532400108618b19b7cb471a808343291304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a95a071793535e56691a418dbcfeea42cc7d40d731b28d3e35b6cefc84cfdb8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-05-30T20:57:56Z",
    "title_canon_sha256": "09dcce82224e409080f776edab2e901fa79b3c3cc281ec857bcef22d431262d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00164",
    "kind": "arxiv",
    "version": 1
  }
}