Pith Number

pith:NHOFTHMW

pith:2011:NHOFTHMW524YWVBCVC32T43DXW

not attested not anchored not stored refs pending

Boundary multifractal behaviour for harmonic functions in the ball

Fr\'ed\'eric Bayart, Yanick Heurteaux

arxiv:1110.5780 v2 · 2011-10-26 · 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{NHOFTHMW524YWVBCVC32T43DXW}

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	2026-05-18T03:59:27.227583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69dc599d96eeb98b5422a8b7a9f363bda9490399aa1c250674528d76e2a73ecf

Aliases

arxiv: 1110.5780 · arxiv_version: 1110.5780v2 · doi: 10.48550/arxiv.1110.5780 · pith_short_12: NHOFTHMW524Y · pith_short_16: NHOFTHMW524YWVBC · pith_short_8: NHOFTHMW

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/NHOFTHMW524YWVBCVC32T43DXW \
  | 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: 69dc599d96eeb98b5422a8b7a9f363bda9490399aa1c250674528d76e2a73ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df0e37640c7cb545ddbd5ab270b0cbe86aff3119130242e7384495c5fda29611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-26T12:58:55Z",
    "title_canon_sha256": "3a6a298372ddd00fb93350ec35a598f10ac5305c5fe89645ddb6b8dac0802baf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5780",
    "kind": "arxiv",
    "version": 2
  }
}