Pith Number

pith:XMARR7PQ

pith:2011:XMARR7PQQRL5QQ7MCOJ4E2BUZJ

not attested not anchored not stored refs pending

Continuous and Discrete Fourier Frames for Fractal Measures

Deguang Han, Dorin Ervin Dutkay, Eric Weber

arxiv:1110.1057 v2 · 2011-10-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMARR7PQQRL5QQ7MCOJ4E2BUZJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:58:51.193329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0118fdf08457d843ec1393c26834ca4928e7639d670ba8422140f6226c3ba5

Aliases

arxiv: 1110.1057 · arxiv_version: 1110.1057v2 · doi: 10.48550/arxiv.1110.1057 · pith_short_12: XMARR7PQQRL5 · pith_short_16: XMARR7PQQRL5QQ7M · pith_short_8: XMARR7PQ

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/XMARR7PQQRL5QQ7MCOJ4E2BUZJ \
  | 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: bb0118fdf08457d843ec1393c26834ca4928e7639d670ba8422140f6226c3ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e431663dad99d6d0d896f322a137db72ff776248a4e58fc683b7e641c9d8fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-05T17:53:49Z",
    "title_canon_sha256": "0e6d78a30057353b80474ef1ed5fe0eefa8880ceec8d78f9967142b92aea174c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1057",
    "kind": "arxiv",
    "version": 2
  }
}