Pith Number

pith:MXJBY7KQ

pith:2016:MXJBY7KQ2DQR7KGQSSD5NCTVM4

not attested not anchored not stored refs pending

On the homological dimensions of Leavitt path algebras with coefficients in commutative rings

T.G. Nam, V. Lopatkin

arxiv:1605.03841 v2 · 2016-05-11 · 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{MXJBY7KQ2DQR7KGQSSD5NCTVM4}

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	2026-05-18T00:52:23.353919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d21c7d50d0e11fa8d09487d68a756726a367a8debc8a6a1253218775ee1616

Aliases

arxiv: 1605.03841 · arxiv_version: 1605.03841v2 · doi: 10.48550/arxiv.1605.03841 · pith_short_12: MXJBY7KQ2DQR · pith_short_16: MXJBY7KQ2DQR7KGQ · pith_short_8: MXJBY7KQ

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/MXJBY7KQ2DQR7KGQSSD5NCTVM4 \
  | 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: 65d21c7d50d0e11fa8d09487d68a756726a367a8debc8a6a1253218775ee1616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e947d8acb9e12a0f2327c10a9e6f998be1cda6557a9e5e3cbba4427fc69140",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-05-11T10:21:17Z",
    "title_canon_sha256": "187ecdaa3a84ee3168a3c386405a079e2d5d2acbb62186079c8c19a5a07101ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03841",
    "kind": "arxiv",
    "version": 2
  }
}