Pith Number

pith:32EDTSXO

pith:2015:32EDTSXOAKP3GI424ZEVL65NTA

not attested not anchored not stored refs pending

Volumes of orthogonal groups and unitary groups

Lin Zhang

arxiv:1509.00537 v5 · 2015-09-02 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32EDTSXOAKP3GI424ZEVL65NTA}

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	2026-05-18T00:31:24.044955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8839caee029fb3239ae64955fbad981eb98d280a392cce27e739b69fe64d96

Aliases

arxiv: 1509.00537 · arxiv_version: 1509.00537v5 · doi: 10.48550/arxiv.1509.00537 · pith_short_12: 32EDTSXOAKP3 · pith_short_16: 32EDTSXOAKP3GI42 · pith_short_8: 32EDTSXO

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/32EDTSXOAKP3GI424ZEVL65NTA \
  | 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: de8839caee029fb3239ae64955fbad981eb98d280a392cce27e739b69fe64d96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "137755aacf63e5aeb60dc1a0e32761030f18860ec8edabf0ded42dbaf60f14d3",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-02T01:25:47Z",
    "title_canon_sha256": "7d66d709da356207e9e46f482c96c9a89a0e3c7f7481b55eb64eafefacb1d156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00537",
    "kind": "arxiv",
    "version": 5
  }
}