Pith Number

pith:U75HIPBG

pith:2015:U75HIPBGOUVEZWIVAGQZMTZ7LC

not attested not anchored not stored refs pending

Bounded $\lambda$-harmonic functions in domains of $\mathbb{H}^n$ with asymptotic boundary with fractional dimension

Leonardo Prange Bonorino, Patr\'icia Kruse Klaser

arxiv:1512.01399 v1 · 2015-12-04 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U75HIPBGOUVEZWIVAGQZMTZ7LC}

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	2026-07-05T02:54:11.476180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7fa743c26752a4cd91501a1964f3f589d083a85d17e183c54ed35cbdc614623

Aliases

arxiv: 1512.01399 · arxiv_version: 1512.01399v1 · doi: 10.48550/arxiv.1512.01399 · pith_short_12: U75HIPBGOUVE · pith_short_16: U75HIPBGOUVEZWIV · pith_short_8: U75HIPBG

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/U75HIPBGOUVEZWIVAGQZMTZ7LC \
  | 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: a7fa743c26752a4cd91501a1964f3f589d083a85d17e183c54ed35cbdc614623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fc9343667ada9bc068a4fbf5154211f0ff1ef58e26e8ef1dd1ba8b4a9ae8611",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-04T13:18:05Z",
    "title_canon_sha256": "f8ec0db9603d04936b726bd26e9b53bb452278b33c3724c8ab0e00174255ba22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01399",
    "kind": "arxiv",
    "version": 1
  }
}