Pith Number

pith:ZZH5IPQX

pith:2005:ZZH5IPQXX76P4W44OGXLXVXJKR

not attested not anchored not stored refs pending

Translation-invariant generalized topologies induced by probabilistic norms

Bernardo Lafuerza-Guillen, Jose L. Rodriguez

arxiv:math/0505484 v2 · 2005-05-23 · math.GN · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZH5IPQXX76P4W44OGXLXVXJKR}

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	2026-05-18T04:42:33.799902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4fd43e17bffcfe5b9c71aebbd6e95467ed7c605cb48afb604ca04d6bff9a7b

Aliases

arxiv: math/0505484 · arxiv_version: math/0505484v2 · doi: 10.48550/arxiv.math/0505484 · pith_short_12: ZZH5IPQXX76P · pith_short_16: ZZH5IPQXX76P4W44 · pith_short_8: ZZH5IPQX

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/ZZH5IPQXX76P4W44OGXLXVXJKR \
  | 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: ce4fd43e17bffcfe5b9c71aebbd6e95467ed7c605cb48afb604ca04d6bff9a7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "082f7e82cef22923bfc99b7de2f038a0acf04de925aecd72bb86b7ee0bcf400d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2005-05-23T20:49:49Z",
    "title_canon_sha256": "c44e74a0fc147a2be0011a4ce8d22e81bdb7faf666bc6fa48a8caebc6c4f3514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505484",
    "kind": "arxiv",
    "version": 2
  }
}