Pith Number

pith:S4YL7MOO

pith:2012:S4YL7MOOF77H75HSOGY2GMYJ46

not attested not anchored not stored refs pending

On the Fourier transforms of self-similar measures

Masato Tsujii

arxiv:1212.1553 v2 · 2012-12-07 · 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{S4YL7MOOF77H75HSOGY2GMYJ46}

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	2026-05-18T03:29:26.920420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9730bfb1ce2ffe7ff4f271b1a33309e7a2639d45b2530509add7c7514e75f762

Aliases

arxiv: 1212.1553 · arxiv_version: 1212.1553v2 · doi: 10.48550/arxiv.1212.1553 · pith_short_12: S4YL7MOOF77H · pith_short_16: S4YL7MOOF77H75HS · pith_short_8: S4YL7MOO

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/S4YL7MOOF77H75HSOGY2GMYJ46 \
  | 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: 9730bfb1ce2ffe7ff4f271b1a33309e7a2639d45b2530509add7c7514e75f762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc330b42fed013618b2a3e2d72bd7f14ea1cb5f7290c927b74ab5dd35e56fb0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-07T08:14:09Z",
    "title_canon_sha256": "6b8df2e6883f4fbe6f52f9763d72da2a54c444c7f097e76032d2a8b52b412f7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1553",
    "kind": "arxiv",
    "version": 2
  }
}