Pith Number

pith:XWJLAQIF

pith:2012:XWJLAQIFAPKLQCEGAEPHI37LRA

not attested not anchored not stored refs pending

Mean value properties of harmonic functions on Sierpinski gasket type fractals

Hua Qiu, Robert S. Strichartz

arxiv:1206.1382 v3 · 2012-06-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWJLAQIFAPKLQCEGAEPHI37LRA}

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	2026-05-18T03:25:35.100044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd92b0410503d4b80886011e746feb881a33543d69bece6196a126b9272d3a34

Aliases

arxiv: 1206.1382 · arxiv_version: 1206.1382v3 · doi: 10.48550/arxiv.1206.1382 · pith_short_12: XWJLAQIFAPKL · pith_short_16: XWJLAQIFAPKLQCEG · pith_short_8: XWJLAQIF

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/XWJLAQIFAPKLQCEGAEPHI37LRA \
  | 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: bd92b0410503d4b80886011e746feb881a33543d69bece6196a126b9272d3a34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "467700a26ce6697b36c7646326346f251fc5d5b2e890de4649d2b70d0bc4bfcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-07T01:23:13Z",
    "title_canon_sha256": "e03d00cfb424dcb5a2eb575ea554e69070ce52be6baf11897b52d1c9c94d3024"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1382",
    "kind": "arxiv",
    "version": 3
  }
}