Pith Number

pith:FA4MYHMZ

pith:2011:FA4MYHMZDSDARH6ZKB2G76JE4V

not attested not anchored not stored refs pending

Shift equivalence and a category equivalence involving graded modules over path algebras of quivers

S. Paul Smith

arxiv:1108.4994 v1 · 2011-08-25 · math.RA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FA4MYHMZDSDARH6ZKB2G76JE4V}

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	2026-05-18T04:14:45.642922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2838cc1d991c86089fd950746ff924e568f8b2d9c751fe47536050d371db70f2

Aliases

arxiv: 1108.4994 · arxiv_version: 1108.4994v1 · doi: 10.48550/arxiv.1108.4994 · pith_short_12: FA4MYHMZDSDA · pith_short_16: FA4MYHMZDSDARH6Z · pith_short_8: FA4MYHMZ

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/FA4MYHMZDSDARH6ZKB2G76JE4V \
  | 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: 2838cc1d991c86089fd950746ff924e568f8b2d9c751fe47536050d371db70f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5d3dd9271a3b939da87049eb7fe77ccd13bde492614584d1146524aaa57c3ab",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-08-25T02:21:03Z",
    "title_canon_sha256": "cee07141edefe8d2e48a0c05af6e3d00948be18c7729292a8866e1842b72bdbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4994",
    "kind": "arxiv",
    "version": 1
  }
}