Pith Number

pith:YCUXLYSV

pith:2018:YCUXLYSVJDFMJ6QIS4O7IT3KP7

not attested not anchored not stored refs pending

A perturbation approach for Paneitz energy on standard three sphere

Fengbo Hang, Paul C. Yang

arxiv:1802.09692 v1 · 2018-02-27 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCUXLYSVJDFMJ6QIS4O7IT3KP7}

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	2026-05-18T00:22:30.360070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a975e25548cac4fa08971df44f6a7fe42bbc526107994dedb613ba88565953

Aliases

arxiv: 1802.09692 · arxiv_version: 1802.09692v1 · doi: 10.48550/arxiv.1802.09692 · pith_short_12: YCUXLYSVJDFM · pith_short_16: YCUXLYSVJDFMJ6QI · pith_short_8: YCUXLYSV

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/YCUXLYSVJDFMJ6QIS4O7IT3KP7 \
  | 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: c0a975e25548cac4fa08971df44f6a7fe42bbc526107994dedb613ba88565953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1043d34cc87fd3c7f9af384aebff5b90a2e4504b7318155678c4163b2f627b7a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-27T02:40:54Z",
    "title_canon_sha256": "41c800cf70694e4d45c220041819e6463f2a0ace48ec9e422402269619331aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09692",
    "kind": "arxiv",
    "version": 1
  }
}