Pith Number

pith:XEBASOGK

pith:2014:XEBASOGK33HMFVIUUBW7GMCPDI

not attested not anchored not stored refs pending

Category equivalences involving graded modules over quotients of weighted path algebras

Cody Holdaway

arxiv:1412.5219 v1 · 2014-12-16 · 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{XEBASOGK33HMFVIUUBW7GMCPDI}

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	2026-05-18T02:31:09.245428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9020938cadecec2d514a06df3304f1a134590db52f176f64556a88b9b022ec1

Aliases

arxiv: 1412.5219 · arxiv_version: 1412.5219v1 · doi: 10.48550/arxiv.1412.5219 · pith_short_12: XEBASOGK33HM · pith_short_16: XEBASOGK33HMFVIU · pith_short_8: XEBASOGK

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/XEBASOGK33HMFVIUUBW7GMCPDI \
  | 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: b9020938cadecec2d514a06df3304f1a134590db52f176f64556a88b9b022ec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2b9184f4faccd27c271f3a200201a7c56ab7369f3bcde07f0b10c6b170280d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-12-16T22:39:03Z",
    "title_canon_sha256": "2280c1d4ae12745761d8efcbdfa5f96fa7d0857455bf29d16d3c789283b2d31c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5219",
    "kind": "arxiv",
    "version": 1
  }
}