Pith Number

pith:XJK5XA6U

pith:2015:XJK5XA6UZQUPHRN6PHZTKMGXVX

not attested not anchored not stored refs pending

Free medial quandles

Agata Pilitowska, Anna Zamojska-Dzienio, Premysl Jedlicka

arxiv:1512.06275 v2 · 2015-12-19 · 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{XJK5XA6UZQUPHRN6PHZTKMGXVX}

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	2026-05-18T01:16:59.861003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba55db83d4cc28f3c5be79f33530d7adeea2aea2516a9e1ad4efdf404b208fb5

Aliases

arxiv: 1512.06275 · arxiv_version: 1512.06275v2 · doi: 10.48550/arxiv.1512.06275 · pith_short_12: XJK5XA6UZQUP · pith_short_16: XJK5XA6UZQUPHRN6 · pith_short_8: XJK5XA6U

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/XJK5XA6UZQUPHRN6PHZTKMGXVX \
  | 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: ba55db83d4cc28f3c5be79f33530d7adeea2aea2516a9e1ad4efdf404b208fb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e7dadaa4a56a601e36701e83bfcb176b617ff631eb2eb4f675a291efad15735",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-19T18:38:58Z",
    "title_canon_sha256": "129a9b32730f78e423307fe05319d9b616612fbf02ee24f30a3d70ce8a15a737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06275",
    "kind": "arxiv",
    "version": 2
  }
}