Pith Number

pith:4MDI3U7X

pith:2021:4MDI3U7XNAQABMZJ5SP55WTRKQ

not attested not anchored not stored refs pending

Quasitoposes as elementary quotient completions

Fabio Pasquali, Giuseppe Rosolini, Maria Emilia Maietti

arxiv:2111.15299 v4 · 2021-11-30 · math.LO · 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{4MDI3U7XNAQABMZJ5SP55WTRKQ}

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 Relational Quotient Completion

Receipt and verification

First computed	2026-06-23T01:11:51.483665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3068dd3f7682000b329ec9fdeda7154038e7645ecceaf869c6b7cdca5ed5ab7

Aliases

arxiv: 2111.15299 · arxiv_version: 2111.15299v4 · doi: 10.48550/arxiv.2111.15299 · pith_short_12: 4MDI3U7XNAQA · pith_short_16: 4MDI3U7XNAQABMZJ · pith_short_8: 4MDI3U7X

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/4MDI3U7XNAQABMZJ5SP55WTRKQ \
  | 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: e3068dd3f7682000b329ec9fdeda7154038e7645ecceaf869c6b7cdca5ed5ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ffd88136301b0adff2c090a8eaf91b1bef97026532f78c4ccfdc09a2e21f0b3",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2021-11-30T11:25:11Z",
    "title_canon_sha256": "1248164e621dcd73a7e47ae5b6c7e64b45b61e204504737a1e4e596dd9f73029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.15299",
    "kind": "arxiv",
    "version": 4
  }
}