Pith Number

pith:USSM3YJY

pith:2018:USSM3YJYQP5J27X6V37MLC5CUC

not attested not anchored not stored refs pending

Principal fibrations over noncommutative spheres

Giovanni Landi, Michel Dubois-Violette, Xiao Han

arxiv:1804.07032 v1 · 2018-04-19 · math.QA · math-ph · 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{USSM3YJYQP5J27X6V37MLC5CUC}

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	2026-05-18T00:00:56.378112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4a4cde13883fa9d7efeaefec58ba2a0bc7918aeef5d4c2b42fc5403172a7e03

Aliases

arxiv: 1804.07032 · arxiv_version: 1804.07032v1 · doi: 10.48550/arxiv.1804.07032 · pith_short_12: USSM3YJYQP5J · pith_short_16: USSM3YJYQP5J27X6 · pith_short_8: USSM3YJY

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/USSM3YJYQP5J27X6V37MLC5CUC \
  | 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: a4a4cde13883fa9d7efeaefec58ba2a0bc7918aeef5d4c2b42fc5403172a7e03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "555cd48c7b75408ffcaacc79400effb7268e24c88ab280baf644a91e56e10648",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-04-19T08:15:38Z",
    "title_canon_sha256": "ed0f7f1e0c3333d8f8720b3260d1483d88844ede826ab446c045fcb17676af82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07032",
    "kind": "arxiv",
    "version": 1
  }
}