Pith. sign in
Pith Number

pith:4WMQXCJ2

pith:2020:4WMQXCJ2KARX4R5YZF7Y3V5MIV
not attested not anchored not stored refs pending

Cartesian Difference Categories: Extended Report

Jean-Simon Pacaud Lemay, Mario Alvarez-Picallo

arxiv:2002.01091 v2 · 2020-02-04 · cs.LO · math.CT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4WMQXCJ2KARX4R5YZF7Y3V5MIV}

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 2026-07-05T01:21:18.136691Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e5990b893a50237e47b8c97f8dd7ac457d6068fd8ca4981a4a1943802f24b6e2

Aliases

arxiv: 2002.01091 · arxiv_version: 2002.01091v2 · doi: 10.48550/arxiv.2002.01091 · pith_short_12: 4WMQXCJ2KARX · pith_short_16: 4WMQXCJ2KARX4R5Y · pith_short_8: 4WMQXCJ2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4WMQXCJ2KARX4R5YZF7Y3V5MIV \
  | 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: e5990b893a50237e47b8c97f8dd7ac457d6068fd8ca4981a4a1943802f24b6e2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2b929e20def2aee32fe29fa40cdac8762a669275f3b6e32edcd8b166aaee565e",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2020-02-04T02:30:05Z",
    "title_canon_sha256": "587f6990087967cb528396e13a24aecf12a4de5e4c4816fe5b4d3aec918f03ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.01091",
    "kind": "arxiv",
    "version": 2
  }
}