Pith Number

pith:KV2M2DMR

pith:2019:KV2M2DMRV3TG57TW2VOBINOBA2

not attested not anchored not stored refs pending

Operational total space theory of principal 2--bundles I: operational geometric framework

Roberto Zucchini

arxiv:1905.10057 v2 · 2019-05-24 · math-ph · hep-th · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KV2M2DMRV3TG57TW2VOBINOBA2}

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	2026-05-17T23:41:57.834837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5574cd0d91aee66efe76d55c1435c106a0f29fc843adfc9e9d411294167d3a70

Aliases

arxiv: 1905.10057 · arxiv_version: 1905.10057v2 · doi: 10.48550/arxiv.1905.10057 · pith_short_12: KV2M2DMRV3TG · pith_short_16: KV2M2DMRV3TG57TW · pith_short_8: KV2M2DMR

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/KV2M2DMRV3TG57TW2VOBINOBA2 \
  | 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: 5574cd0d91aee66efe76d55c1435c106a0f29fc843adfc9e9d411294167d3a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bea57106a86fba7217e247ff4203393564ab48e8aa3511f11066b559e3ab5f3",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-05-24T06:48:42Z",
    "title_canon_sha256": "9286f29170d4a64d6d42cae770f57f8561bc183be9f28a9b2791e91a4f913f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10057",
    "kind": "arxiv",
    "version": 2
  }
}