Pith Number

pith:JS7ALIXE

pith:2018:JS7ALIXEEYVELR345KUUMJWVY7

not attested not anchored not stored refs pending

Regularity of the singular set in a two-phase problem for harmonic measure with H\"older data

Matthew Badger, Max Engelstein, Tatiana Toro

arxiv:1807.08002 v3 · 2018-07-20 · math.AP · 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{JS7ALIXEEYVELR345KUUMJWVY7}

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	2026-05-17T23:44:32.265694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cbe05a2e4262a45c77ceaa94626d5c7dc08f5843352114dccf08e8293dc1fe1

Aliases

arxiv: 1807.08002 · arxiv_version: 1807.08002v3 · doi: 10.48550/arxiv.1807.08002 · pith_short_12: JS7ALIXEEYVE · pith_short_16: JS7ALIXEEYVELR34 · pith_short_8: JS7ALIXE

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/JS7ALIXEEYVELR345KUUMJWVY7 \
  | 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: 4cbe05a2e4262a45c77ceaa94626d5c7dc08f5843352114dccf08e8293dc1fe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11bdd0964b274c7afdb9c83622fd4d8e9b9866e510dec8dfc8b72f3612d1ea20",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-20T18:59:24Z",
    "title_canon_sha256": "4c47472f726d0c34d7f799aa40a14f5e54ce3b6be072dd76169fa669cc0fdf78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08002",
    "kind": "arxiv",
    "version": 3
  }
}