Pith Number

pith:TVQ2OE4C

pith:2026:TVQ2OE4CSRVUIF6DUKDCLSYWEJ

not attested not anchored not stored refs pending

A further study of quandles and quandle rings

Bhitali Kousik, Gregory Churchill, Indu Rasika Churchill, Neranga Fernando

arxiv:2608.09149 v1 · 2026-08-10 · 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{TVQ2OE4CSRVUIF6DUKDCLSYWEJ}

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	2026-08-11T02:21:55.259305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d61a71382946b4417c3a28625cb1622758db6fffe7a57f49ac8d7d6f6b81bab

Aliases

arxiv: 2608.09149 · arxiv_version: 2608.09149v1 · doi: 10.48550/arxiv.2608.09149 · pith_short_12: TVQ2OE4CSRVU · pith_short_16: TVQ2OE4CSRVUIF6D · pith_short_8: TVQ2OE4C

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/TVQ2OE4CSRVUIF6DUKDCLSYWEJ \
  | 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: 9d61a71382946b4417c3a28625cb1622758db6fffe7a57f49ac8d7d6f6b81bab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20525a883741a7aa6e8303eb804411d9df864dc2abbf15cdffc6a4df78185f29",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-08-10T05:53:51Z",
    "title_canon_sha256": "d1dbd3410bcc01a96db2d4825d6af55b216053863a74d94eb80657972dbc5be6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09149",
    "kind": "arxiv",
    "version": 1
  }
}