Pith Number

pith:REGGIDEZ

pith:2012:REGGIDEZZKXO7R7C2LR4Y4Y6PN

not attested not anchored not stored refs pending

The enriched Vietoris monad on representable spaces

Dirk Hofmann

arxiv:1212.5539 v3 · 2012-12-21 · math.CT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REGGIDEZZKXO7R7C2LR4Y4Y6PN}

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	2026-05-18T03:24:52.503338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

890c640c99caaeefc7e2d2e3cc731e7b749bdae267188b3a1413ac50d63c1b38

Aliases

arxiv: 1212.5539 · arxiv_version: 1212.5539v3 · doi: 10.48550/arxiv.1212.5539 · pith_short_12: REGGIDEZZKXO · pith_short_16: REGGIDEZZKXO7R7C · pith_short_8: REGGIDEZ

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/REGGIDEZZKXO7R7C2LR4Y4Y6PN \
  | 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: 890c640c99caaeefc7e2d2e3cc731e7b749bdae267188b3a1413ac50d63c1b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd8cd2f6f54fe6238e4bcef94596a1974b5b09a875c4cb85971696cd6d301d0b",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-12-21T17:49:51Z",
    "title_canon_sha256": "76597b9d7a0e0c9cd67d5c4420a7bf193562a0cd0c86cdd142bdcbbd9abd8766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5539",
    "kind": "arxiv",
    "version": 3
  }
}