Pith Number

pith:6FQHVPUS

pith:2014:6FQHVPUSCW2SCJCFMAZO6CGN7C

not attested not anchored not stored refs pending

On CR Paneitz operators and CR pluriharmonic functions

Chin-Yu Hsiao

arxiv:1405.0158 v1 · 2014-05-01 · math.AP · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6FQHVPUSCW2SCJCFMAZO6CGN7C}

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	2026-05-18T02:52:48.854373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1607abe9215b52124456032ef08cdf884383abb02def3b4eb22495c66cbeeb2

Aliases

arxiv: 1405.0158 · arxiv_version: 1405.0158v1 · doi: 10.48550/arxiv.1405.0158 · pith_short_12: 6FQHVPUSCW2S · pith_short_16: 6FQHVPUSCW2SCJCF · pith_short_8: 6FQHVPUS

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/6FQHVPUSCW2SCJCFMAZO6CGN7C \
  | 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: f1607abe9215b52124456032ef08cdf884383abb02def3b4eb22495c66cbeeb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f17f9b2e0d23756927a46a7db93f543cd3599acdd2161c8d51eb06fd9ed76515",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-01T13:38:46Z",
    "title_canon_sha256": "e8d965d4cc237e0beb51afd66af0e1f1010089c1ae29a02a234cf2eb749c4c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0158",
    "kind": "arxiv",
    "version": 1
  }
}