Pith Number

pith:YROWWRJV

pith:2020:YROWWRJVHTQM5Z27KF2XOKN7P4

not attested not anchored not stored refs pending

On constant Q-curvature metrics with isolated singularities

Jesse Ratzkin

arxiv:2001.07984 v1 · 2020-01-22 · 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{YROWWRJVHTQM5Z27KF2XOKN7P4}

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.

Cited by

1 paper in Pith

Local asymptotics for singular solutions to critical Hartree equations

Receipt and verification

First computed	2026-07-05T00:35:06.705665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c45d6b45353ce0cee75f51757729bf7f14dd3e55115938f502d3f07ea75a026d

Aliases

arxiv: 2001.07984 · arxiv_version: 2001.07984v1 · doi: 10.48550/arxiv.2001.07984 · pith_short_12: YROWWRJVHTQM · pith_short_16: YROWWRJVHTQM5Z27 · pith_short_8: YROWWRJV

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/YROWWRJVHTQM5Z27KF2XOKN7P4 \
  | 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: c45d6b45353ce0cee75f51757729bf7f14dd3e55115938f502d3f07ea75a026d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e4e8fd68dee48e3708c12679f1adecc13efcfa2224df93dd137ba7ae04e0e8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-01-22T12:29:40Z",
    "title_canon_sha256": "7d55dd224a30f674fa0fc7472228d527788e1e073d9e788429d9f506f296aa5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.07984",
    "kind": "arxiv",
    "version": 1
  }
}