Pith Number

pith:F7YP6RSG

pith:2019:F7YP6RSGWP4WYJFZ3QCYUSM45S

not attested not anchored not stored refs pending

On the prescribed $Q$-curvature problem in Riemannian manifolds

Fl\'avio Fran\c{c}a Cruz, Tiarlos Cruz

arxiv:1903.08994 v1 · 2019-03-21 · 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{F7YP6RSGWP4WYJFZ3QCYUSM45S}

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	2026-05-17T23:50:43.372566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff0ff4646b3f96c24b9dc058a499ceca1a56ca5ebbea3015b7284c0e7627aef

Aliases

arxiv: 1903.08994 · arxiv_version: 1903.08994v1 · doi: 10.48550/arxiv.1903.08994 · pith_short_12: F7YP6RSGWP4W · pith_short_16: F7YP6RSGWP4WYJFZ · pith_short_8: F7YP6RSG

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/F7YP6RSGWP4WYJFZ3QCYUSM45S \
  | 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: 2ff0ff4646b3f96c24b9dc058a499ceca1a56ca5ebbea3015b7284c0e7627aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90be7f8cef089783e6301d2373ca5fd531689d409e742eb5cef7fc4b560faa8b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-21T13:43:25Z",
    "title_canon_sha256": "f072583f4aed36c7bd7b0e925bc15295d21b0dce87f0b11d0b5bf0e0f1d71767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08994",
    "kind": "arxiv",
    "version": 1
  }
}