Pith Number

pith:VIOYINPC

pith:2014:VIOYINPCIQKADQFN7LAZKKGK6S

not attested not anchored not stored refs pending

Differential smoothness of affine Hopf algebras of Gelfand-Kirillov dimension two

Tomasz Brzezi\'nski

arxiv:1412.6669 v1 · 2014-12-20 · 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{VIOYINPCIQKADQFN7LAZKKGK6S}

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	2026-05-18T02:30:46.466860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1d8435e2441401c0adfac19528caf4ad95c5be6bc2bf12805c0d5808124ad8

Aliases

arxiv: 1412.6669 · arxiv_version: 1412.6669v1 · doi: 10.48550/arxiv.1412.6669 · pith_short_12: VIOYINPCIQKA · pith_short_16: VIOYINPCIQKADQFN · pith_short_8: VIOYINPC

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/VIOYINPCIQKADQFN7LAZKKGK6S \
  | 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: aa1d8435e2441401c0adfac19528caf4ad95c5be6bc2bf12805c0d5808124ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aba7e8f6df771726ce1732db089e826b6a29d5d846b1a9b4d5315b4e6fe7d62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-12-20T17:03:24Z",
    "title_canon_sha256": "85e2e283226ee0c596f45962ca88675dc1c18f5f6871172aa02d0aca21c5b9e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6669",
    "kind": "arxiv",
    "version": 1
  }
}