Pith Number

pith:TKHTMTGH

pith:2016:TKHTMTGH25NBB47NHIEIASSXYX

not attested not anchored not stored refs pending

The one-phase problem for harmonic measure in two-sided NTA domains

Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa

arxiv:1604.06343 v2 · 2016-04-21 · 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{TKHTMTGH25NBB47NHIEIASSXYX}

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	2026-05-18T00:42:32.960134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a8f364cc7d75a10f3ed3a08804a57c5d77172e015dabc1defd80a8426656674

Aliases

arxiv: 1604.06343 · arxiv_version: 1604.06343v2 · doi: 10.48550/arxiv.1604.06343 · pith_short_12: TKHTMTGH25NB · pith_short_16: TKHTMTGH25NBB47N · pith_short_8: TKHTMTGH

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/TKHTMTGH25NBB47NHIEIASSXYX \
  | 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: 9a8f364cc7d75a10f3ed3a08804a57c5d77172e015dabc1defd80a8426656674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02bd158225ea412afabeacceecd12adb70eeab2753daee6fecaa747621c5961d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-21T14:55:17Z",
    "title_canon_sha256": "58ad3823d886173f1b357d6a4c3c6e48e26c7dd36156917e5f02e934bea955c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06343",
    "kind": "arxiv",
    "version": 2
  }
}