Pith Number

pith:UJ4TU4K5

pith:2015:UJ4TU4K57IINKPEEIDEZYBGBB6

not attested not anchored not stored refs pending

Finitely presented quadratic algebras of intermediate growth

Dilber Kocak

arxiv:1506.01241 v1 · 2015-06-03 · 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{UJ4TU4K57IINKPEEIDEZYBGBB6}

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	2026-05-18T01:58:24.735687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2793a715dfa10d53c8440c99c04c10fa584dd8b9db1fe923ba875197eb6c8fa

Aliases

arxiv: 1506.01241 · arxiv_version: 1506.01241v1 · doi: 10.48550/arxiv.1506.01241 · pith_short_12: UJ4TU4K57IIN · pith_short_16: UJ4TU4K57IINKPEE · pith_short_8: UJ4TU4K5

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/UJ4TU4K57IINKPEEIDEZYBGBB6 \
  | 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: a2793a715dfa10d53c8440c99c04c10fa584dd8b9db1fe923ba875197eb6c8fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05d7443e3538f4d93da42cf4f1b9f30caa68545019f33218033f90516cc865c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-06-03T13:28:25Z",
    "title_canon_sha256": "bdda3e2e8c8ae6e009361f17ef9921b311526db3b5d176b21627b1d061b34f9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01241",
    "kind": "arxiv",
    "version": 1
  }
}