Pith Number

pith:HY3XSX6Z

pith:2014:HY3XSX6ZGHHGB6FANXDHJQ62VI

not attested not anchored not stored refs pending

Sign of Green's function of Paneitz operators and the Q curvature

Fengbo Hang, Paul C. Yang

arxiv:1411.3924 v2 · 2014-11-14 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HY3XSX6ZGHHGB6FANXDHJQ62VI}

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	2026-05-18T02:09:54.426149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e37795fd931ce60f8a06dc674c3daaa07429780a491d63c2fcc1cbe6fb3044c

Aliases

arxiv: 1411.3924 · arxiv_version: 1411.3924v2 · doi: 10.48550/arxiv.1411.3924 · pith_short_12: HY3XSX6ZGHHG · pith_short_16: HY3XSX6ZGHHGB6FA · pith_short_8: HY3XSX6Z

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/HY3XSX6ZGHHGB6FANXDHJQ62VI \
  | 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: 3e37795fd931ce60f8a06dc674c3daaa07429780a491d63c2fcc1cbe6fb3044c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df8b14c1b271954809c4ee4e260b16d0f1cb0f00ec29b8068630f1e35e209308",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-14T14:54:07Z",
    "title_canon_sha256": "9b223c1339b77501e408d2eeba02f98301fb9be0bc109b07e5bf08bcd32ca5cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3924",
    "kind": "arxiv",
    "version": 2
  }
}