Pith Number

pith:FPQMOER3

pith:2011:FPQMOER3X6BZDQMOXK7HJBZXPR

not attested not anchored not stored refs pending

The graded Grothendieck group and the classification of Leavitt path algebras

R. Hazrat

arxiv:1102.4088 v3 · 2011-02-20 · 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{FPQMOER3X6BZDQMOXK7HJBZXPR}

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	2026-05-18T04:09:53.660624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2be0c7123bbf8391c18ebabe7487377c644e761e6ba75b8f612aa4ba45e356d1

Aliases

arxiv: 1102.4088 · arxiv_version: 1102.4088v3 · doi: 10.48550/arxiv.1102.4088 · pith_short_12: FPQMOER3X6BZ · pith_short_16: FPQMOER3X6BZDQMO · pith_short_8: FPQMOER3

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/FPQMOER3X6BZDQMOXK7HJBZXPR \
  | 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: 2be0c7123bbf8391c18ebabe7487377c644e761e6ba75b8f612aa4ba45e356d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d8527227f22991151f011658bb8ec02bf4ef21e26361d93498f60b91ba001c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-02-20T17:17:32Z",
    "title_canon_sha256": "b886c3405730240cca1b5a088d2dfd9c4f45904fe05e0491fca77b3034ec0b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4088",
    "kind": "arxiv",
    "version": 3
  }
}