Pith Number

pith:HSZ4LZ3V

pith:2016:HSZ4LZ3V45EPRI2SZZ3K3BTJYZ

not attested not anchored not stored refs pending

Energy and Laplacian of Fractal Interpolation Functions

Huo-Jun Ruan, Xiao-Hui Li

arxiv:1607.06176 v2 · 2016-07-21 · 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{HSZ4LZ3V45EPRI2SZZ3K3BTJYZ}

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	2026-05-18T01:00:45.221547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cb3c5e775e748f8a352ce76ad8669c674343f526b5a93bed12d4661af7cce3f

Aliases

arxiv: 1607.06176 · arxiv_version: 1607.06176v2 · doi: 10.48550/arxiv.1607.06176 · pith_short_12: HSZ4LZ3V45EP · pith_short_16: HSZ4LZ3V45EPRI2S · pith_short_8: HSZ4LZ3V

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/HSZ4LZ3V45EPRI2SZZ3K3BTJYZ \
  | 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: 3cb3c5e775e748f8a352ce76ad8669c674343f526b5a93bed12d4661af7cce3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6564fe9ad45287bb951e1ba2dc167a0c5df78fb12cfa2878a6fc10eeb61d769b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-21T02:54:19Z",
    "title_canon_sha256": "be4b540867acf2509ecfed6d556f0363f8bacd8fe63c26ceb4b42223f1046780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06176",
    "kind": "arxiv",
    "version": 2
  }
}