Pith Number

pith:FPX5D3KR

pith:2016:FPX5D3KR62WFHTBGHNOT2F2IGL

not attested not anchored not stored refs pending

Mapping spaces and automorphism groups of toric noncommutative spaces

Alexander Schenkel, Gwendolyn E. Barnes, Richard J. Szabo

arxiv:1606.04775 v2 · 2016-06-15 · math.QA · hep-th · math-ph · math.CT · 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{FPX5D3KR62WFHTBGHNOT2F2IGL}

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	2026-05-18T00:37:48.448273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2befd1ed51f6ac53cc263b5d3d174832df6302e8bddf83f5bd80df677ac098aa

Aliases

arxiv: 1606.04775 · arxiv_version: 1606.04775v2 · doi: 10.48550/arxiv.1606.04775 · pith_short_12: FPX5D3KR62WF · pith_short_16: FPX5D3KR62WFHTBG · pith_short_8: FPX5D3KR

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/FPX5D3KR62WFHTBGHNOT2F2IGL \
  | 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: 2befd1ed51f6ac53cc263b5d3d174832df6302e8bddf83f5bd80df677ac098aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43266b57315394bac283f2c899307614c7fae0a58f8aff88589312660dc3690e",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.CT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-06-15T14:12:45Z",
    "title_canon_sha256": "9a26ac621ec8a4e70d8c0e95da169a756f914bd29d2c892f3b9ced972be54f3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04775",
    "kind": "arxiv",
    "version": 2
  }
}