Pith Number

pith:VS4FKZJ4

pith:2010:VS4FKZJ4VBY34X5Q5W4DPRUDXB

not attested not anchored not stored refs pending

Affine fractals as boundaries and their harmonic analysis

Dorin Ervin Dutkay, Palle E.T. Jorgensen

arxiv:1006.0415 v2 · 2010-06-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VS4FKZJ4VBY34X5Q5W4DPRUDXB}

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	2026-05-18T04:41:55.750116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acb855653ca871be5fb0edb837c683b849160c9bc28f40e7c7a5b0f64bd9bb11

Aliases

arxiv: 1006.0415 · arxiv_version: 1006.0415v2 · doi: 10.48550/arxiv.1006.0415 · pith_short_12: VS4FKZJ4VBY3 · pith_short_16: VS4FKZJ4VBY34X5Q · pith_short_8: VS4FKZJ4

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/VS4FKZJ4VBY34X5Q5W4DPRUDXB \
  | 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: acb855653ca871be5fb0edb837c683b849160c9bc28f40e7c7a5b0f64bd9bb11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7d2ba319c677f8c9b757e151e67144d886a22ebcc83bbb12768f67379559161",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-06-02T15:00:40Z",
    "title_canon_sha256": "96e9576e2835400a198980028f0139ccb124c00b696544f6d761492a77ddf715"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0415",
    "kind": "arxiv",
    "version": 2
  }
}