Pith Number

pith:VTNBTJFO

pith:2015:VTNBTJFO4QD6CUOLEEDNTZPNF3

not attested not anchored not stored refs pending

Derivations of the Leavitt path algebra W(n)

Viktor Lopatkin

arxiv:1601.00596 v2 · 2015-12-26 · math.RA · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTNBTJFO4QD6CUOLEEDNTZPNF3}

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	2026-05-18T01:20:16.266673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acda19a4aee407e151cb2106d9e5ed2ec0c2620f211f96383507bba601433cfc

Aliases

arxiv: 1601.00596 · arxiv_version: 1601.00596v2 · doi: 10.48550/arxiv.1601.00596 · pith_short_12: VTNBTJFO4QD6 · pith_short_16: VTNBTJFO4QD6CUOL · pith_short_8: VTNBTJFO

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/VTNBTJFO4QD6CUOLEEDNTZPNF3 \
  | 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: acda19a4aee407e151cb2106d9e5ed2ec0c2620f211f96383507bba601433cfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10c943063f4b4a9ca0fadbfce482c37de9b669226c7510e9267b4b4a410448c3",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-26T18:04:32Z",
    "title_canon_sha256": "238a812799b007d419ec4f7c91063f03c0093943ae9ecef45fff204c880e3cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00596",
    "kind": "arxiv",
    "version": 2
  }
}