Pith Number

pith:PPH7UM6Y

pith:2018:PPH7UM6YTDI4H5VHTYFNNQNVBF

not attested not anchored not stored refs pending

On $p$-Harmonic Measures in Half Spaces

J. G. Llorente, J. J. Manfredi, J.M. Wu, W. C. Troy

arxiv:1807.10367 v1 · 2018-07-26 · 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{PPH7UM6YTDI4H5VHTYFNNQNVBF}

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	2026-05-18T00:09:40.874992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bcffa33d898d1c3f6a79e0ad6c1b5096366398f999b9e97ca456e2a46bebe78

Aliases

arxiv: 1807.10367 · arxiv_version: 1807.10367v1 · doi: 10.48550/arxiv.1807.10367 · pith_short_12: PPH7UM6YTDI4 · pith_short_16: PPH7UM6YTDI4H5VH · pith_short_8: PPH7UM6Y

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/PPH7UM6YTDI4H5VHTYFNNQNVBF \
  | 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: 7bcffa33d898d1c3f6a79e0ad6c1b5096366398f999b9e97ca456e2a46bebe78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf2dbe4c47ac0d23cc63ca7b8eccce8a28e9f2517a142f72070ac6ebdd02528",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-26T21:11:38Z",
    "title_canon_sha256": "ad7f958d04a0e0f59af636ef211a0a7bcaf4dce3518cb685d33c4598d0a04411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10367",
    "kind": "arxiv",
    "version": 1
  }
}