Pith Number

pith:Z4LSXZ5N

pith:2017:Z4LSXZ5NTHVIJWNONVKJXA6EHF

not attested not anchored not stored refs pending

Group gradations on Leavitt path algebras

Johan \"Oinert, Patrik Nystedt

arxiv:1703.10601 v3 · 2017-03-30 · 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{Z4LSXZ5NTHVIJWNONVKJXA6EHF}

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	2026-05-17T23:42:59.204335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf172be7ad99ea84d9ae6d549b83c43946dd6482ad31852284441cb0123aa0b3

Aliases

arxiv: 1703.10601 · arxiv_version: 1703.10601v3 · doi: 10.48550/arxiv.1703.10601 · pith_short_12: Z4LSXZ5NTHVI · pith_short_16: Z4LSXZ5NTHVIJWNO · pith_short_8: Z4LSXZ5N

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/Z4LSXZ5NTHVIJWNONVKJXA6EHF \
  | 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: cf172be7ad99ea84d9ae6d549b83c43946dd6482ad31852284441cb0123aa0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a87d673f2b4287234747fd406c408904a0d37580a5bc2997e684b2dd191fded",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-03-30T17:57:59Z",
    "title_canon_sha256": "0795f2df5cd327539bc8737b2fd14aafe3c4ea204be800c11f10c0289d41f243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10601",
    "kind": "arxiv",
    "version": 3
  }
}