Pith Number

pith:T5LCFFX7

pith:2015:T5LCFFX7LHOKAPQBW66ONXYX3T

not attested not anchored not stored refs pending

Rectifiability of harmonic measure in domains with porous boundaries

Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa

arxiv:1505.06088 v3 · 2015-05-22 · 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{T5LCFFX7LHOKAPQBW66ONXYX3T}

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	2026-05-18T02:00:01.891075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f562296ff59dca03e01b7bce6df17dcdb9bcd9994caba63eb4f1673a5d402c0

Aliases

arxiv: 1505.06088 · arxiv_version: 1505.06088v3 · doi: 10.48550/arxiv.1505.06088 · pith_short_12: T5LCFFX7LHOK · pith_short_16: T5LCFFX7LHOKAPQB · pith_short_8: T5LCFFX7

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/T5LCFFX7LHOKAPQBW66ONXYX3T \
  | 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: 9f562296ff59dca03e01b7bce6df17dcdb9bcd9994caba63eb4f1673a5d402c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f627c9fd7813677c6710d85b06f60277e15d0a2ac5722b141504c9d5beda6e56",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-22T14:11:03Z",
    "title_canon_sha256": "57308b4b413ab57e9bfe69bff64f98e467f2125df02624e3b95ac56ca3d7e501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06088",
    "kind": "arxiv",
    "version": 3
  }
}