Pith Number

pith:4QEZFCHV

pith:2025:4QEZFCHVMBYM564TV5GPERE4KC

not attested not anchored not stored refs pending

On orthogonal factorization systems and double categories

Branko Juran

arxiv:2501.01363 v1 · 2025-01-02 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QEZFCHVMBYM564TV5GPERE4KC}

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

1 paper in Pith

The span-squares adjunction

Receipt and verification

First computed	2026-07-05T09:56:18.757809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4099288f56070cefb93af4cf2449c508fd89e2896d308ef815a78930f4c2a81

Aliases

arxiv: 2501.01363 · arxiv_version: 2501.01363v1 · doi: 10.48550/arxiv.2501.01363 · pith_short_12: 4QEZFCHVMBYM · pith_short_16: 4QEZFCHVMBYM564T · pith_short_8: 4QEZFCHV

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/4QEZFCHVMBYM564TV5GPERE4KC \
  | 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: e4099288f56070cefb93af4cf2449c508fd89e2896d308ef815a78930f4c2a81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a982b47ea06352658c6634ace0b59c829fe6b22a240a346b26a374e6a9027ca5",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-01-02T17:19:22Z",
    "title_canon_sha256": "349ffb419847f6b249ef5f2fe5d92c4d00180819e8c0656ff51938c9f7ca733d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.01363",
    "kind": "arxiv",
    "version": 1
  }
}