Pith Number

pith:NJCKZDQE

pith:2023:NJCKZDQEIVP2AVRXW2Q2GTI7U2

not attested not anchored not stored refs pending

Calculus of Fractions for Quasicategories

Chris Kapulkin, Daniel Carranza, Zachery Lindsey

arxiv:2306.02218 v2 · 2023-06-04 · math.AT · math.CO · 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{NJCKZDQEIVP2AVRXW2Q2GTI7U2}

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

Homotopical presentation of categories

Receipt and verification

First computed	2026-07-05T11:55:13.041463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a44ac8e04455fa05637b6a1a34d1fa69f09e5779f4f4708ef16694c2409a311

Aliases

arxiv: 2306.02218 · arxiv_version: 2306.02218v2 · doi: 10.48550/arxiv.2306.02218 · pith_short_12: NJCKZDQEIVP2 · pith_short_16: NJCKZDQEIVP2AVRX · pith_short_8: NJCKZDQE

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/NJCKZDQEIVP2AVRXW2Q2GTI7U2 \
  | 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: 6a44ac8e04455fa05637b6a1a34d1fa69f09e5779f4f4708ef16694c2409a311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae697533fa52d3bb964e881ba2c0444db82a5a3d43ba7df3fd17ef15f21691d",
    "cross_cats_sorted": [
      "math.CO",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-06-04T00:09:18Z",
    "title_canon_sha256": "861b78b662e1d50dcb4df24326c08fb7844530dd054dd3933a89c852f48715e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.02218",
    "kind": "arxiv",
    "version": 2
  }
}