Pith Number

pith:XG4OVC2S

pith:2016:XG4OVC2SHTGDVC72F64QLHDVF4

not attested not anchored not stored refs pending

Fourier coefficients of $\times p$-invariant measures

Huichi Huang

arxiv:1606.06078 v2 · 2016-06-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XG4OVC2SHTGDVC72F64QLHDVF4}

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	2026-05-18T00:33:59.917027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b8ea8b523ccc3a8bfa2fb9059c752f111e5a01fedb22dde255dbd9f5c665c7

Aliases

arxiv: 1606.06078 · arxiv_version: 1606.06078v2 · doi: 10.48550/arxiv.1606.06078 · pith_short_12: XG4OVC2SHTGD · pith_short_16: XG4OVC2SHTGDVC72 · pith_short_8: XG4OVC2S

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/XG4OVC2SHTGDVC72F64QLHDVF4 \
  | 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: b9b8ea8b523ccc3a8bfa2fb9059c752f111e5a01fedb22dde255dbd9f5c665c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87792b4307f42eee13e75a1693e40432e981290a5ab87dd93398ccb124daa0bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-06-20T12:09:49Z",
    "title_canon_sha256": "0afc04d424216555ad5b095e65c738300cdfd6e542284f41b6c9cd6434d511c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06078",
    "kind": "arxiv",
    "version": 2
  }
}