Pith Number

pith:PTB7OFIJ

pith:2008:PTB7OFIJ576ZAZW6T6X6GRW44Y

not attested not anchored not stored refs pending

Flow invariants in the classification of Leavitt path algebras

A. Louly, C. Smith, E. Pardo, G. Abrams

arxiv:0812.0553 v4 · 2008-12-02 · math.RA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTB7OFIJ576ZAZW6T6X6GRW44Y}

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	2026-05-18T04:31:22.773565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc3f71509effd9066de9fafe346dce61478db59f58142502c592abb646c7131

Aliases

arxiv: 0812.0553 · arxiv_version: 0812.0553v4 · doi: 10.48550/arxiv.0812.0553 · pith_short_12: PTB7OFIJ576Z · pith_short_16: PTB7OFIJ576ZAZW6 · pith_short_8: PTB7OFIJ

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/PTB7OFIJ576ZAZW6T6X6GRW44Y \
  | 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: 7cc3f71509effd9066de9fafe346dce61478db59f58142502c592abb646c7131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0f23bdcf477b17e35b072873afe05bbc7f9fce70efec793f120dc185dbd08dc",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-12-02T17:23:47Z",
    "title_canon_sha256": "d784a36027cb1b1879bac4d27e0b3934c8884aeeabe00f09e0fb2cec4d7ec462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0553",
    "kind": "arxiv",
    "version": 4
  }
}