Pith Number

pith:JUOUHJFG

pith:2016:JUOUHJFGDVHN6BUV53EWL7IZDI

not attested not anchored not stored refs pending

On a two-phase problem for harmonic measure in general domains

Alexander Volberg, Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa

arxiv:1609.06133 v1 · 2016-09-20 · 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{JUOUHJFGDVHN6BUV53EWL7IZDI}

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	2026-05-18T01:04:16.576549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d1d43a4a61d4edf0695eec965fd191a2a9545c80ee22e5a365fde9a153ab97a

Aliases

arxiv: 1609.06133 · arxiv_version: 1609.06133v1 · doi: 10.48550/arxiv.1609.06133 · pith_short_12: JUOUHJFGDVHN · pith_short_16: JUOUHJFGDVHN6BUV · pith_short_8: JUOUHJFG

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/JUOUHJFGDVHN6BUV53EWL7IZDI \
  | 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: 4d1d43a4a61d4edf0695eec965fd191a2a9545c80ee22e5a365fde9a153ab97a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6aaac3c77ce7f82fbe6512ffb19f80c5644e9d47a042fa82bdbc0e26eafc946",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-20T12:38:02Z",
    "title_canon_sha256": "325ba97b2c4a4541f25e9c7dd4a377073e160a20e5fd3c0cbd95f7f92f31fd93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06133",
    "kind": "arxiv",
    "version": 1
  }
}