Pith Number

pith:4DHI7DHB

pith:2020:4DHI7DHB26EOB3TZRXFVOT5DFC

not attested not anchored not stored refs pending

On lax transformations, adjunctions, and monads in $(\infty,2)$-categories

Rune Haugseng

arxiv:2002.01037 v2 · 2020-02-03 · 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{4DHI7DHB26EOB3TZRXFVOT5DFC}

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

Large condensation in enriched $\infty$-categories

Receipt and verification

First computed	2026-07-05T02:18:50.626525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ce8f8ce1d788e0ee798dcb574fa328af9109b2e10fda8653ac9f9052187ac5

Aliases

arxiv: 2002.01037 · arxiv_version: 2002.01037v2 · doi: 10.48550/arxiv.2002.01037 · pith_short_12: 4DHI7DHB26EO · pith_short_16: 4DHI7DHB26EOB3TZ · pith_short_8: 4DHI7DHB

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/4DHI7DHB26EOB3TZRXFVOT5DFC \
  | 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: e0ce8f8ce1d788e0ee798dcb574fa328af9109b2e10fda8653ac9f9052187ac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e76364d0491791da0d9f99600dff5e29533ed6146fb2b475b0f07777a448ed44",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2020-02-03T22:30:17Z",
    "title_canon_sha256": "540568576ef6760cb16ab0b5f1e1b2b9de53849900482094c3045ee0e321701a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.01037",
    "kind": "arxiv",
    "version": 2
  }
}