Pith Number

pith:L6CJEMSI

pith:2017:L6CJEMSIQCL5SJJNY2VPNS655A

not attested not anchored not stored refs pending

Structure of free semigroupoid algebras

Adam Dor-On, Boyu Li, Kenneth R. Davidson

arxiv:1709.06637 v2 · 2017-09-19 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6CJEMSIQCL5SJJNY2VPNS655A}

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	2026-05-17T23:43:28.643712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f849232488097d9252dc6aaf6cbdde80fb199554259a6efd854a3c9afd1a8fe

Aliases

arxiv: 1709.06637 · arxiv_version: 1709.06637v2 · doi: 10.48550/arxiv.1709.06637 · pith_short_12: L6CJEMSIQCL5 · pith_short_16: L6CJEMSIQCL5SJJN · pith_short_8: L6CJEMSI

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/L6CJEMSIQCL5SJJNY2VPNS655A \
  | 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: 5f849232488097d9252dc6aaf6cbdde80fb199554259a6efd854a3c9afd1a8fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fc3178fb3d570436dd1a016df1455f8a2a43aa7a08eee5cd740720371d727f7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-09-19T20:31:43Z",
    "title_canon_sha256": "d260b8bac5edae5e94147ff34553c8bbb13c5ef24fd15363593d7d49b7f65bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06637",
    "kind": "arxiv",
    "version": 2
  }
}