Pith Number

pith:R6BQQPXZ

pith:2013:R6BQQPXZ3MGPLVHS2FZNGSOC2Z

not attested not anchored not stored refs pending

A sufficient condition for $p$-valently harmonic functions

Toshio Hayami

arxiv:1303.1263 v1 · 2013-03-06 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6BQQPXZ3MGPLVHS2FZNGSOC2Z}

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	2026-05-18T03:12:59.978286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f83083ef9db0cf5d4f2d172d349c2d64fd11e89a8e17836ec9235624d7b4ebb

Aliases

arxiv: 1303.1263 · arxiv_version: 1303.1263v1 · doi: 10.48550/arxiv.1303.1263 · pith_short_12: R6BQQPXZ3MGP · pith_short_16: R6BQQPXZ3MGPLVHS · pith_short_8: R6BQQPXZ

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/R6BQQPXZ3MGPLVHS2FZNGSOC2Z \
  | 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: 8f83083ef9db0cf5d4f2d172d349c2d64fd11e89a8e17836ec9235624d7b4ebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f6b886fbdb9053c16c18c5646d145bfd55448f505e1d9bf1cdde096f28ba257",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-03-06T07:57:34Z",
    "title_canon_sha256": "ae2027e83d845f0a08d0beb845d3a5c7646d5f57a38de8b7343ff0c7ab63754a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1263",
    "kind": "arxiv",
    "version": 1
  }
}