Pith Number

pith:MIFCH2LO

pith:2018:MIFCH2LOCUMNQG7KJLAFCE7C2Q

not attested not anchored not stored refs pending

Factorizing the Top-Loc adjunction through positive topologies

Francesco Ciraulo, Samuele Maschio, Tatsuji Kawai

arxiv:1812.09190 v1 · 2018-12-20 · math.GN · cs.LO · math.CT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIFCH2LOCUMNQG7KJLAFCE7C2Q}

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	2026-05-17T23:57:45.103845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

620a23e96e1518d81bea4ac05113e2d426ea2f7580959cab159c4d430c8396ac

Aliases

arxiv: 1812.09190 · arxiv_version: 1812.09190v1 · doi: 10.48550/arxiv.1812.09190 · pith_short_12: MIFCH2LOCUMN · pith_short_16: MIFCH2LOCUMNQG7K · pith_short_8: MIFCH2LO

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/MIFCH2LOCUMNQG7KJLAFCE7C2Q \
  | 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: 620a23e96e1518d81bea4ac05113e2d426ea2f7580959cab159c4d430c8396ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0b8e28f915d48e2abdedefe09a631537e77c301c16b28d2216b0c74d46db29",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-12-20T11:30:31Z",
    "title_canon_sha256": "13ecd35915cb8d66f426865287aec25e760eeab6d69edfcb5f5298a6e97534e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09190",
    "kind": "arxiv",
    "version": 1
  }
}