Pith Number

pith:E2RJN242

pith:2015:E2RJN242LJ5JYOFUEMC74X4XPZ

not attested not anchored not stored refs pending

Lectures on the fourth order Q curvature equation

Fengbo Hang, Paul C. Yang

arxiv:1509.03003 v2 · 2015-09-10 · 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{E2RJN242LJ5JYOFUEMC74X4XPZ}

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	2026-05-18T01:32:51.957864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a296eb9a5a7a9c38b42305fe5f977e60e2f0614a00a326f89b45c28206f5aa

Aliases

arxiv: 1509.03003 · arxiv_version: 1509.03003v2 · doi: 10.48550/arxiv.1509.03003 · pith_short_12: E2RJN242LJ5J · pith_short_16: E2RJN242LJ5JYOFU · pith_short_8: E2RJN242

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/E2RJN242LJ5JYOFUEMC74X4XPZ \
  | 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: 26a296eb9a5a7a9c38b42305fe5f977e60e2f0614a00a326f89b45c28206f5aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a081d74b1cb543d5f7e0b9d95c033dfd5f3cc471ddea40293e3a36615aa8da",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-10T04:10:01Z",
    "title_canon_sha256": "e8fe98a879994d414de50ac9a32e9001a1547f747f84e930318375a336e3192e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03003",
    "kind": "arxiv",
    "version": 2
  }
}