Pith Number

pith:DOWBIJ4Z

pith:2017:DOWBIJ4ZCQ7A3TQ72SDXW5F3YA

not attested not anchored not stored refs pending

An explicit projective bimodule resolution of a Leavitt path algebra

Huanhuan Li, Xiao-Wu Chen, Zhengfang Wang

arxiv:1711.01876 v1 · 2017-11-06 · math.RA · math.KT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOWBIJ4ZCQ7A3TQ72SDXW5F3YA}

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	2026-05-18T00:31:16.650510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bac142799143e0dce1fd4877b74bbc034e60288f3fac4e410e2bf178504c879

Aliases

arxiv: 1711.01876 · arxiv_version: 1711.01876v1 · doi: 10.48550/arxiv.1711.01876 · pith_short_12: DOWBIJ4ZCQ7A · pith_short_16: DOWBIJ4ZCQ7A3TQ7 · pith_short_8: DOWBIJ4Z

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/DOWBIJ4ZCQ7A3TQ72SDXW5F3YA \
  | 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: 1bac142799143e0dce1fd4877b74bbc034e60288f3fac4e410e2bf178504c879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47b60e212e3915a18f05c1c36e64c4e191df70060f4b27d79f53b3a7fa987932",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-11-06T13:25:59Z",
    "title_canon_sha256": "c903388ae036d74162c2166be3a3b81b5d9d57d8c8a29b8ba7c8c83f299f7923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01876",
    "kind": "arxiv",
    "version": 1
  }
}