Pith Number

pith:HRFZYCEW

pith:2016:HRFZYCEWOOHWKUNDYB4RG53US5

not attested not anchored not stored refs pending

Spectral property of self-affine measures on ${\mathbb R}^n$

Jing-Cheng Liu, Jun Jason Luo

arxiv:1603.07656 v2 · 2016-03-19 · math.CA · 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{HRFZYCEWOOHWKUNDYB4RG53US5}

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	2026-05-18T01:01:35.994637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c4b9c0896738f6551a3c079137774975c499ece4d09438384dad2b3b220a3b2

Aliases

arxiv: 1603.07656 · arxiv_version: 1603.07656v2 · doi: 10.48550/arxiv.1603.07656 · pith_short_12: HRFZYCEWOOHW · pith_short_16: HRFZYCEWOOHWKUND · pith_short_8: HRFZYCEW

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/HRFZYCEWOOHWKUNDYB4RG53US5 \
  | 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: 3c4b9c0896738f6551a3c079137774975c499ece4d09438384dad2b3b220a3b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592a603b01ffc8c70b2f28dc21f1d2ac8bbebe2130285c221d3e423eebf8a429",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-19T12:03:49Z",
    "title_canon_sha256": "62215286efd292fbaac9ac482775d3b304f9f6d8f9a753b4829e4c80c95d44d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07656",
    "kind": "arxiv",
    "version": 2
  }
}