Pith Number

pith:FSZ6E7BK

pith:2018:FSZ6E7BK5NE7N6LZ3JQVGCPFND

not attested not anchored not stored refs pending

Cartesian Double Categories with an Emphasis on Characterizing Spans

Evangelia Aleiferi

arxiv:1809.06940 v1 · 2018-09-18 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSZ6E7BK5NE7N6LZ3JQVGCPFND}

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.

Cited by

2 papers in Pith

On categories of monads and comonads in double categories

Transposing cartesian and other structure in double categories

Receipt and verification

First computed	2026-05-18T00:05:21.111333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cb3e27c2aeb49f6f979da615309e568d08baad1ab929c1cab35f56fae21ea00

Aliases

arxiv: 1809.06940 · arxiv_version: 1809.06940v1 · doi: 10.48550/arxiv.1809.06940 · pith_short_12: FSZ6E7BK5NE7 · pith_short_16: FSZ6E7BK5NE7N6LZ · pith_short_8: FSZ6E7BK

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/FSZ6E7BK5NE7N6LZ3JQVGCPFND \
  | 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: 2cb3e27c2aeb49f6f979da615309e568d08baad1ab929c1cab35f56fae21ea00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c99a0b1457f8ca401f1478bfe97d4dd43857a5d3ee8e49fdb01833f92b3680d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-09-18T21:26:05Z",
    "title_canon_sha256": "ba071794ecce8f128f16263d1a1a8f632107e5ec9831b8eef204d85994778461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06940",
    "kind": "arxiv",
    "version": 1
  }
}