pith. sign in
Pith Number

pith:W7EPHSXG

pith:2015:W7EPHSXGRW7HNJCCERAEJKHTBZ
not attested not anchored not stored refs pending

Varieties of Languages in a Category

Henning Urbat, Jiri Adamek, Robert Myers, Stefan Milius

arxiv:1501.05180 v1 · 2015-01-21 · cs.FL · cs.LO · math.CT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W7EPHSXGRW7HNJCCERAEJKHTBZ}

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 2026-05-18T02:29:00.606526Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b7c8f3cae68dbe76a442244044a8f30e79ee0369122a734a4f1cb9b67e593a4d

Aliases

arxiv: 1501.05180 · arxiv_version: 1501.05180v1 · doi: 10.48550/arxiv.1501.05180 · pith_short_12: W7EPHSXGRW7H · pith_short_16: W7EPHSXGRW7HNJCC · pith_short_8: W7EPHSXG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W7EPHSXGRW7HNJCCERAEJKHTBZ \
  | 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: b7c8f3cae68dbe76a442244044a8f30e79ee0369122a734a4f1cb9b67e593a4d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "319d20a754e801192c27d6870a550e8fe00dcf8a991a1c1b8a40e5cca8f6720d",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-01-21T14:31:04Z",
    "title_canon_sha256": "9b812f7c64fd2a8bd21781b38895ed2f56f3eaca4fb31c61f03682547a02e20c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05180",
    "kind": "arxiv",
    "version": 1
  }
}