Pith Number

pith:3ALOF5QH

pith:2012:3ALOF5QHYZM4T6E2K5DWAA6WEG

not attested not anchored not stored refs pending

Harmonic and Monogenic Potentials in Low Dimensional Euclidean Half-Space

Fred Brackx, Hendrik De Bie, Hennie De Schepper

arxiv:1212.1766 v1 · 2012-12-08 · 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{3ALOF5QHYZM4T6E2K5DWAA6WEG}

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	2026-05-18T03:38:55.171484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d816e2f607c659c9f89a57476003d6218a935b20dd7dd7bd9cf95b8c9108921c

Aliases

arxiv: 1212.1766 · arxiv_version: 1212.1766v1 · doi: 10.48550/arxiv.1212.1766 · pith_short_12: 3ALOF5QHYZM4 · pith_short_16: 3ALOF5QHYZM4T6E2 · pith_short_8: 3ALOF5QH

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/3ALOF5QHYZM4T6E2K5DWAA6WEG \
  | 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: d816e2f607c659c9f89a57476003d6218a935b20dd7dd7bd9cf95b8c9108921c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13df0c616b94db73b4a84ae519f401675167cdf788dc25d8b2aa476c8e675918",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-08T08:13:34Z",
    "title_canon_sha256": "927a84045c494a0df0adaed4e660dff280f5f30c2e324eccaa866b7f9e706c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1766",
    "kind": "arxiv",
    "version": 1
  }
}