Pith Number

pith:KBC6AJWY

pith:2010:KBC6AJWYF2HXOMXN5EDGOSK6XW

not attested not anchored not stored refs pending

Stone duality for topological theories

Dirk Hofmann, Isar Stubbe

arxiv:1004.0160 v2 · 2010-04-01 · math.CT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBC6AJWYF2HXOMXN5EDGOSK6XW}

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	2026-05-18T04:38:15.477164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5045e026d82e8f7732ede90667495ebdbac77339f2ecd733372687e2524a022e

Aliases

arxiv: 1004.0160 · arxiv_version: 1004.0160v2 · doi: 10.48550/arxiv.1004.0160 · pith_short_12: KBC6AJWYF2HX · pith_short_16: KBC6AJWYF2HXOMXN · pith_short_8: KBC6AJWY

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/KBC6AJWYF2HXOMXN5EDGOSK6XW \
  | 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: 5045e026d82e8f7732ede90667495ebdbac77339f2ecd733372687e2524a022e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81267f24aa074f72c9ccddc3d8cf1b776ff2280a6a589201e263bce455b3b987",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-04-01T15:42:45Z",
    "title_canon_sha256": "320cdd803c93fa67bd74678f9ee3ece44d8f2c75280534003a8960265b2c6c96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0160",
    "kind": "arxiv",
    "version": 2
  }
}