Pith Number

pith:3QCBM4ZT

pith:2003:3QCBM4ZTFYQMGO5E6GCRIHFIST

not attested not anchored not stored refs pending

Ambient metric construction of Q-curvature in conformal and CR geometries

Charles Fefferman, Kengo Hirachi

arxiv:math/0303184 v2 · 2003-03-16 · 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{3QCBM4ZTFYQMGO5E6GCRIHFIST}

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	2026-05-18T00:53:28.149878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc041673332e20c33ba4f185141ca894fba45b06a710fc726b7c1fc4e6a15342

Aliases

arxiv: math/0303184 · arxiv_version: math/0303184v2 · doi: 10.48550/arxiv.math/0303184 · pith_short_12: 3QCBM4ZTFYQM · pith_short_16: 3QCBM4ZTFYQMGO5E · pith_short_8: 3QCBM4ZT

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/3QCBM4ZTFYQMGO5E6GCRIHFIST \
  | 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: dc041673332e20c33ba4f185141ca894fba45b06a710fc726b7c1fc4e6a15342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ac21388c0a215e4c1a3a136daba3764e0a8e4a3060ab5f3b715d10e1e2c18a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-03-16T08:05:05Z",
    "title_canon_sha256": "a58b8744b4f756b55e71f33adf01f78bc41b7c494b8f37b6987413618d8b53f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303184",
    "kind": "arxiv",
    "version": 2
  }
}