Pith Number

pith:IYWPWI6T

pith:2015:IYWPWI6TZGCBS4CRL5T3FP7UZM

not attested not anchored not stored refs pending

The CR Paneitz Operator and the Stability of CR Pluriharmonic Functions

Jeffrey S. Case, Paul Yang, Sagun Chanillo

arxiv:1502.01994 v2 · 2015-02-06 · math.DG · 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{IYWPWI6TZGCBS4CRL5T3FP7UZM}

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	2026-05-18T01:31:03.335182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

462cfb23d3c9841970515f67b2bff4cb106c4580e6b78ac1d81d1ac255a1f134

Aliases

arxiv: 1502.01994 · arxiv_version: 1502.01994v2 · doi: 10.48550/arxiv.1502.01994 · pith_short_12: IYWPWI6TZGCB · pith_short_16: IYWPWI6TZGCBS4CR · pith_short_8: IYWPWI6T

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/IYWPWI6TZGCBS4CRL5T3FP7UZM \
  | 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: 462cfb23d3c9841970515f67b2bff4cb106c4580e6b78ac1d81d1ac255a1f134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a19459738df479b4d15b57f12ea5c7d54ea1e0d278a0b2e5dc324b47a0f58bca",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-06T19:11:56Z",
    "title_canon_sha256": "16abec7cdad951df50dfec3816402f55d28d1742e22aa4b69267a1acf3a0aea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01994",
    "kind": "arxiv",
    "version": 2
  }
}