Pith Number

pith:SZYEC36H

pith:2017:SZYEC36HNDAGH4MZYBXPGEW4AI

not attested not anchored not stored refs pending

A short proof of sharp Weyl's law for the special orthogonal group

Fernando Chamizo, Jos\'e Granados

arxiv:1706.05160 v2 · 2017-06-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZYEC36HNDAGH4MZYBXPGEW4AI}

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	2026-05-18T00:26:07.973258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9670416fc768c063f199c06ef312dc0234a81b480f9ccc845ebcfa895e46866d

Aliases

arxiv: 1706.05160 · arxiv_version: 1706.05160v2 · doi: 10.48550/arxiv.1706.05160 · pith_short_12: SZYEC36HNDAG · pith_short_16: SZYEC36HNDAGH4MZ · pith_short_8: SZYEC36H

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/SZYEC36HNDAGH4MZYBXPGEW4AI \
  | 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: 9670416fc768c063f199c06ef312dc0234a81b480f9ccc845ebcfa895e46866d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db11e13fcee01709916dfc6371f8b9a31cec4c9b230ca4ae15a4171c6b621cf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-16T06:52:14Z",
    "title_canon_sha256": "241d36bf18a1105d4c25ff653fb8567e0d765cabbaba9af105300fe6f18f85b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05160",
    "kind": "arxiv",
    "version": 2
  }
}