Pith Number

pith:OGPAA2BX

pith:2024:OGPAA2BXCNJ2RQTO5HQIVF77VD

not attested not anchored not stored refs pending

Straightening for lax transformations and adjunctions of $(\infty,2)$-categories

Andrea Gagna, Fernando Abell\'an, Rune Haugseng

arxiv:2404.03971 v1 · 2024-04-05 · 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{OGPAA2BXCNJ2RQTO5HQIVF77VD}

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	2026-07-05T08:04:43.748192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

719e0068371353a8c26ee9e08a97ffa8f180bf9837451bc1dcc8688a6998b764

Aliases

arxiv: 2404.03971 · arxiv_version: 2404.03971v1 · doi: 10.48550/arxiv.2404.03971 · pith_short_12: OGPAA2BXCNJ2 · pith_short_16: OGPAA2BXCNJ2RQTO · pith_short_8: OGPAA2BX

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/OGPAA2BXCNJ2RQTO5HQIVF77VD \
  | 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: 719e0068371353a8c26ee9e08a97ffa8f180bf9837451bc1dcc8688a6998b764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6753eecb25136bf08d848866b976734777dcb6d6cece98d4ad5c6a983f8965c2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-04-05T09:11:43Z",
    "title_canon_sha256": "590d86e362fb3ddc1c6714868385b3675068c27490f7b7dce19e2f2380cad3cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.03971",
    "kind": "arxiv",
    "version": 1
  }
}