Pith Number

pith:AQKVYHCS

pith:2015:AQKVYHCSBQQSJNNZIYAMFWJR36

not attested not anchored not stored refs pending

A Noncommutative Borsuk-Ulam Theorem for Natsume-Olsen Spheres

Benjamin Passer

arxiv:1503.01822 v4 · 2015-03-06 · math.QA · math.FA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQKVYHCSBQQSJNNZIYAMFWJR36}

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	2026-05-17T23:41:37.665104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04155c1c520c2124b5b94600c2d931df8d3104f35ed67d2e4b3225e9f2cf0e67

Aliases

arxiv: 1503.01822 · arxiv_version: 1503.01822v4 · doi: 10.48550/arxiv.1503.01822 · pith_short_12: AQKVYHCSBQQS · pith_short_16: AQKVYHCSBQQSJNNZ · pith_short_8: AQKVYHCS

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/AQKVYHCSBQQSJNNZIYAMFWJR36 \
  | 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: 04155c1c520c2124b5b94600c2d931df8d3104f35ed67d2e4b3225e9f2cf0e67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7997b041e4eac88b862cf50b04ee24fa42503854aa9867cc43d6a8224bd4dd09",
    "cross_cats_sorted": [
      "math.FA",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-03-06T00:42:20Z",
    "title_canon_sha256": "e5e2d4c52afee3bc21037377696b95abd4576a255cc57260ee17f34b072c81d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01822",
    "kind": "arxiv",
    "version": 4
  }
}