Pith Number

pith:7LQGKDXN

pith:2026:7LQGKDXNC2UNBITCY556MKTCLY

not attested not anchored not stored refs pending

Axial Algebras: Questions and Conjectures

I. Gorshkov, S. Shpectorov

arxiv:2606.30048 v1 · 2026-06-29 · 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{7LQGKDXNC2UNBITCY556MKTCLY}

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	2026-06-30T02:17:47.429730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fae0650eed16a8d0a262c77be62a625e3629c8db1a2e5ae38f6ee0ecf4765ac8

Aliases

arxiv: 2606.30048 · arxiv_version: 2606.30048v1 · doi: 10.48550/arxiv.2606.30048 · pith_short_12: 7LQGKDXNC2UN · pith_short_16: 7LQGKDXNC2UNBITC · pith_short_8: 7LQGKDXN

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/7LQGKDXNC2UNBITCY556MKTCLY \
  | 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: fae0650eed16a8d0a262c77be62a625e3629c8db1a2e5ae38f6ee0ecf4765ac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaca95bcea8d5c29b559257f37c3af2c0fe87cd707cc202b91a9f710978c78a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-06-29T09:41:18Z",
    "title_canon_sha256": "8d05c3a68e3a1c47ca0c3bd21e99cbf37f89d781315f1b06814b9d81a9d18648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30048",
    "kind": "arxiv",
    "version": 1
  }
}