Pith Number

pith:ALIYP255

pith:2012:ALIYP255TZ2RJUJOR53OC5TGZU

not attested not anchored not stored refs pending

Energy Measures of Harmonic Functions on the Sierpi\'nski Gasket

Ching-Wei Ho, Renee Bell, Robert S. Strichartz

arxiv:1212.0148 v3 · 2012-12-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALIYP255TZ2RJUJOR53OC5TGZU}

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	2026-05-18T03:12:33.190958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d187ebbd9e7514d12e8f76e17666cd1e5c46c31554a55464e4b8685ef5ef08

Aliases

arxiv: 1212.0148 · arxiv_version: 1212.0148v3 · doi: 10.48550/arxiv.1212.0148 · pith_short_12: ALIYP255TZ2R · pith_short_16: ALIYP255TZ2RJUJO · pith_short_8: ALIYP255

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/ALIYP255TZ2RJUJOR53OC5TGZU \
  | 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: 02d187ebbd9e7514d12e8f76e17666cd1e5c46c31554a55464e4b8685ef5ef08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b15a34573bac57c2716912f129d79c3a114b74b35b5a3ece331965a356f5d95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-01T18:45:55Z",
    "title_canon_sha256": "cd8e38c30125ef2c9f9abe3cdfc710e4f85737525fb45f23d6b3748787aefef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0148",
    "kind": "arxiv",
    "version": 3
  }
}