Pith Number

pith:IKJXXZBP

pith:2009:IKJXXZBPFOS2JMI7RO3KZCSPBJ

not attested not anchored not stored refs pending

On the nonexistence of quasi-Einstein metrics

Jeffrey S. Case

arxiv:0902.2226 v3 · 2009-02-12 · 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{IKJXXZBPFOS2JMI7RO3KZCSPBJ}

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	2026-05-18T04:33:18.236384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42937be42f2ba5a4b11f8bb6ac8a4f0a40a74755ed6df15e251a1833735ff0a6

Aliases

arxiv: 0902.2226 · arxiv_version: 0902.2226v3 · doi: 10.48550/arxiv.0902.2226 · pith_short_12: IKJXXZBPFOS2 · pith_short_16: IKJXXZBPFOS2JMI7 · pith_short_8: IKJXXZBP

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/IKJXXZBPFOS2JMI7RO3KZCSPBJ \
  | 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: 42937be42f2ba5a4b11f8bb6ac8a4f0a40a74755ed6df15e251a1833735ff0a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2696a9b868e838756c13154d074887209dad07dd7bd886261f3222c1f8ad3427",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-02-12T22:27:55Z",
    "title_canon_sha256": "f36f5fc35e243a2263aa7a9c2b496629874577aee347609abd1cbefd1ead72a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2226",
    "kind": "arxiv",
    "version": 3
  }
}