Pith Number

pith:WYYU76OB

pith:2018:WYYU76OBNNX44QLQI6VWB26HI4

not attested not anchored not stored refs pending

Chain conditions for epsilon-strongly graded rings with applications to Leavitt path algebras

Daniel L\"annstr\"om

arxiv:1808.10163 v1 · 2018-08-30 · 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{WYYU76OBNNX44QLQI6VWB26HI4}

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	2026-05-18T00:06:49.620695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6314ff9c16b6fce417047ab60ebc747104e5dabe9f7406d495c7e20744860a1

Aliases

arxiv: 1808.10163 · arxiv_version: 1808.10163v1 · doi: 10.48550/arxiv.1808.10163 · pith_short_12: WYYU76OBNNX4 · pith_short_16: WYYU76OBNNX44QLQ · pith_short_8: WYYU76OB

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/WYYU76OBNNX44QLQI6VWB26HI4 \
  | 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: b6314ff9c16b6fce417047ab60ebc747104e5dabe9f7406d495c7e20744860a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "551d2082a979e684e442c13bfd86d6312d3753f57c5e057fc35e82445aedf6d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-08-30T08:00:50Z",
    "title_canon_sha256": "056aad37d91c21d0cb1c304a2bbc24025fdc41653b7d82508c9794ca5ec04218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10163",
    "kind": "arxiv",
    "version": 1
  }
}