Pith Number

pith:UF7PA26B

pith:2015:UF7PA26BTJUP5TWNTOSDBMYIW5

not attested not anchored not stored refs pending

The weak-$A_\infty$ property of harmonic and $p$-harmonic measures implies uniform rectifiability

Jos\'e Mar\'ia Martell, Kaj Nystr\"om, Phi Le, Steve Hofmann

arxiv:1511.09270 v1 · 2015-11-30 · 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{UF7PA26BTJUP5TWNTOSDBMYIW5}

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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	2026-05-18T00:03:50.591752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a17ef06bc19a68fececd9ba430b308b75383db4e83df0240f426c0b121b99029

Aliases

arxiv: 1511.09270 · arxiv_version: 1511.09270v1 · doi: 10.48550/arxiv.1511.09270 · pith_short_12: UF7PA26BTJUP · pith_short_16: UF7PA26BTJUP5TWN · pith_short_8: UF7PA26B

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/UF7PA26BTJUP5TWNTOSDBMYIW5 \
  | 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: a17ef06bc19a68fececd9ba430b308b75383db4e83df0240f426c0b121b99029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "651d23f5ea8cf76d4d515f8d510a39e36234a67db9844028da3909adeb8c0f9a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-30T12:35:24Z",
    "title_canon_sha256": "50d1a247c6cafd52bdd55bc2afcd783d05006e11c4bd6468dc1ec414af6dbbfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09270",
    "kind": "arxiv",
    "version": 1
  }
}