Pith Number

pith:46LGPHB7

pith:2011:46LGPHB77FVWMIQWRJOKBA5N33

not attested not anchored not stored refs pending

A four for the price of one duality principle for distributive spaces

Dirk Hofmann

arxiv:1102.2605 v1 · 2011-02-13 · math.GN · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46LGPHB77FVWMIQWRJOKBA5N33}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:28:46.966087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e796679c3ff96b6622168a5ca083addeeeab634eeba7f64430094fc27da5a5ba

Aliases

arxiv: 1102.2605 · arxiv_version: 1102.2605v1 · doi: 10.48550/arxiv.1102.2605 · pith_short_12: 46LGPHB77FVW · pith_short_16: 46LGPHB77FVWMIQW · pith_short_8: 46LGPHB7

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/46LGPHB77FVWMIQWRJOKBA5N33 \
  | 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: e796679c3ff96b6622168a5ca083addeeeab634eeba7f64430094fc27da5a5ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445d2b875d4d263cfd63c92e15aa01ee2768aeabaaeb3cb03349b87bb6940ab6",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-02-13T15:38:33Z",
    "title_canon_sha256": "b2c88f283ae9d7d38dbdcb247ef94bb4dfa390cfceba6c8aa87ed9d1ca21a544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2605",
    "kind": "arxiv",
    "version": 1
  }
}