Pith Number

pith:KXRIBEZ4

pith:2015:KXRIBEZ4DWPHFNVGEBNGD5BRZ7

not attested not anchored not stored refs pending

Singular sets for harmonic measure on locally flat domains with locally finite surface measure

Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa

arxiv:1501.07585 v2 · 2015-01-29 · math.CA · 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{KXRIBEZ4DWPHFNVGEBNGD5BRZ7}

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	2026-05-18T01:13:05.147349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e280933c1d9e72b6a6205a61f431cfc1694eb486b92411434fc14c2f4492aa

Aliases

arxiv: 1501.07585 · arxiv_version: 1501.07585v2 · doi: 10.48550/arxiv.1501.07585 · pith_short_12: KXRIBEZ4DWPH · pith_short_16: KXRIBEZ4DWPHFNVG · pith_short_8: KXRIBEZ4

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/KXRIBEZ4DWPHFNVGEBNGD5BRZ7 \
  | 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: 55e280933c1d9e72b6a6205a61f431cfc1694eb486b92411434fc14c2f4492aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f6e89892b1c64969d602522363d969c4030fb0968a31dad203973d0f043bbca",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-29T20:43:57Z",
    "title_canon_sha256": "dcecb5f338cb0837f12426956f1917075364232b154717b1abe890aae7e1d257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07585",
    "kind": "arxiv",
    "version": 2
  }
}