Pith Number

pith:BPDB3QZQ

pith:2014:BPDB3QZQTRHTVZYNG3RCDGNBE7

not attested not anchored not stored refs pending

Connected quandles and transitive groups

Alexander Hulpke, David Stanovsk\'y, Petr Vojt\v{e}chovsk\'y

arxiv:1409.2249 v2 · 2014-09-08 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPDB3QZQTRHTVZYNG3RCDGNBE7}

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	2026-05-18T01:55:59.932240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bc61dc3309c4f3ae70d36e22199a127d04b6eb107aaad55776a4479d4ff14ce

Aliases

arxiv: 1409.2249 · arxiv_version: 1409.2249v2 · doi: 10.48550/arxiv.1409.2249 · pith_short_12: BPDB3QZQTRHT · pith_short_16: BPDB3QZQTRHTVZYN · pith_short_8: BPDB3QZQ

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/BPDB3QZQTRHTVZYNG3RCDGNBE7 \
  | 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: 0bc61dc3309c4f3ae70d36e22199a127d04b6eb107aaad55776a4479d4ff14ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba307f33969df7f9ed71ea7ec50ab9dd210ed10f7ef0a50796212527ac355285",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-08T09:16:58Z",
    "title_canon_sha256": "b55666beae2e55307584ea790d38b71c3c443007786868f3f48045b3bef43e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2249",
    "kind": "arxiv",
    "version": 2
  }
}