Pith Number

pith:4TQUY4UQ

pith:2015:4TQUY4UQYT6O464S33DSTRD3KB

not attested not anchored not stored refs pending

Central extensions of groups and adjoint groups of quandles

Takefumi Nosaka

arxiv:1505.03077 v5 · 2015-05-12 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TQUY4UQYT6O464S33DSTRD3KB}

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	2026-05-18T00:43:09.715647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e14c7290c4fcee7b92dec729c47b5059eff5c8fd76f6426b36aa5de76ceb1a

Aliases

arxiv: 1505.03077 · arxiv_version: 1505.03077v5 · doi: 10.48550/arxiv.1505.03077 · pith_short_12: 4TQUY4UQYT6O · pith_short_16: 4TQUY4UQYT6O464S · pith_short_8: 4TQUY4UQ

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/4TQUY4UQYT6O464S33DSTRD3KB \
  | 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: e4e14c7290c4fcee7b92dec729c47b5059eff5c8fd76f6426b36aa5de76ceb1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23b65ee542725a4601da2374c39d4ad872b2dd7db2ef317103490923e239aa6f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-12T16:15:43Z",
    "title_canon_sha256": "621ef21427c3d224bc4787e9493eed93d8f692fec1b9d918cba3effbfb7facb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03077",
    "kind": "arxiv",
    "version": 5
  }
}