Pith Number

pith:647LIPH3

pith:2011:647LIPH3HOKTFGXMY7AMRXQ6ND

not attested not anchored not stored refs pending

A topos-theoretic approach to Stone-type dualities

Olivia Caramello

arxiv:1103.3493 v1 · 2011-03-17 · math.CT · math.GN · 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{647LIPH3HOKTFGXMY7AMRXQ6ND}

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

2 papers in Pith

De Morgan's law in toposes I

Coexact completion of profinite Heyting algebras and uniform interpolation

Receipt and verification

First computed	2026-05-18T04:25:03.332268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f73eb43cfb3b95329aecc7c0c8de1e68f58201a23946635b391b048d1b076bbf

Aliases

arxiv: 1103.3493 · arxiv_version: 1103.3493v1 · doi: 10.48550/arxiv.1103.3493 · pith_short_12: 647LIPH3HOKT · pith_short_16: 647LIPH3HOKTFGXM · pith_short_8: 647LIPH3

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/647LIPH3HOKTFGXMY7AMRXQ6ND \
  | 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: f73eb43cfb3b95329aecc7c0c8de1e68f58201a23946635b391b048d1b076bbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f9bc5e94963a8ae127fe4bbe420e48eabe7e363e38f450278201300bb65a5e",
    "cross_cats_sorted": [
      "math.GN",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-03-17T19:40:08Z",
    "title_canon_sha256": "c8d085157ab8c98cd4c31b30012269a19bfa8e28d816fdd3b000aa8947dda84a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3493",
    "kind": "arxiv",
    "version": 1
  }
}