Pith Number

pith:M6RV4QEI

pith:2013:M6RV4QEIPPXN6ATTABCHWAWBPS

not attested not anchored not stored refs pending

On the stability of Einstein manifolds

Klaus Kroencke

arxiv:1311.6749 v2 · 2013-11-26 · math.DG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6RV4QEIPPXN6ATTABCHWAWBPS}

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	2026-05-18T01:35:57.474229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67a35e40887beedf027300447b02c17c8ba3492344dd14df3ab8927c0899f24f

Aliases

arxiv: 1311.6749 · arxiv_version: 1311.6749v2 · doi: 10.48550/arxiv.1311.6749 · pith_short_12: M6RV4QEIPPXN · pith_short_16: M6RV4QEIPPXN6ATT · pith_short_8: M6RV4QEI

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/M6RV4QEIPPXN6ATTABCHWAWBPS \
  | 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: 67a35e40887beedf027300447b02c17c8ba3492344dd14df3ab8927c0899f24f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d52047cfda435bbc638f63012db5b4f07f7e137ebed885147cf95f0d8fc04b7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-26T17:43:37Z",
    "title_canon_sha256": "043374c943d541fe5542b48d6aa018719722a6df1657d0a3993ebf8123250ab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6749",
    "kind": "arxiv",
    "version": 2
  }
}