Pith Number

pith:33TYGOPY

pith:2015:33TYGOPY3UO2RSDRSVEE5WJEA4

not attested not anchored not stored refs pending

Derivations of Leavitt path algebra

Viktor Lopatkin

arxiv:1509.05075 v19 · 2015-09-16 · math.AT · math.RA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33TYGOPY3UO2RSDRSVEE5WJEA4}

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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.

Cited by

1 paper in Pith

Monoidal structures arising from $B_\infty$-algebras with applications to Hopf algebras

Receipt and verification

First computed	2026-07-05T00:09:22.366970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee78339f8dd1da8c87195484ed92407146cb7ef3c8fc0f395482def77c494bd

Aliases

arxiv: 1509.05075 · arxiv_version: 1509.05075v19 · doi: 10.48550/arxiv.1509.05075 · pith_short_12: 33TYGOPY3UO2 · pith_short_16: 33TYGOPY3UO2RSDR · pith_short_8: 33TYGOPY

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/33TYGOPY3UO2RSDRSVEE5WJEA4 \
  | 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: dee78339f8dd1da8c87195484ed92407146cb7ef3c8fc0f395482def77c494bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fae288a1deb4c69b823a61be99fbdfa189d8a4a76a13cd6f0c7a9fb28c740470",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-09-16T22:27:12Z",
    "title_canon_sha256": "0e567b1f63b193a8d7f5a21dece92cb95704c41acb099aa2cd865d160b4c8e09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05075",
    "kind": "arxiv",
    "version": 19
  }
}