Pith Number

pith:X2O6SDLK

pith:2011:X2O6SDLKOALK74LL5MBE6NASLG

not attested not anchored not stored refs pending

Category equivalences involving graded modules over path algebras of quivers

S. Paul Smith

arxiv:1107.3511 v3 · 2011-07-18 · 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{X2O6SDLKOALK74LL5MBE6NASLG}

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	2026-05-18T04:00:01.197575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be9de90d6a7016aff16beb024f341259aece56bc508895053acee315c68a251b

Aliases

arxiv: 1107.3511 · arxiv_version: 1107.3511v3 · doi: 10.48550/arxiv.1107.3511 · pith_short_12: X2O6SDLKOALK · pith_short_16: X2O6SDLKOALK74LL · pith_short_8: X2O6SDLK

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/X2O6SDLKOALK74LL5MBE6NASLG \
  | 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: be9de90d6a7016aff16beb024f341259aece56bc508895053acee315c68a251b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3957ab1013d4a1025e15b68b957c89722a405e7d4a3a44ba8e12138b327f3371",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-07-18T17:28:16Z",
    "title_canon_sha256": "8be640f2dcfa86d36165f32ec9aee3b49f350a317a172d7f991cee422bdcb7df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3511",
    "kind": "arxiv",
    "version": 3
  }
}