Pith Number

pith:VG7B3Q22

pith:2011:VG7B3Q22ML64CXVEHQ3GYOBMQU

not attested not anchored not stored refs pending

On the local extension of Killing vector-fields in Ricci flat manifolds

Alexandru D. Ionescu, Sergiu Klainerman

arxiv:1108.3575 v1 · 2011-08-17 · math.AP · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VG7B3Q22ML64CXVEHQ3GYOBMQU}

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	2026-05-18T04:15:15.914846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9be1dc35a62fdc15ea43c366c382c85010818d1529c21fbaf382306610164e6

Aliases

arxiv: 1108.3575 · arxiv_version: 1108.3575v1 · doi: 10.48550/arxiv.1108.3575 · pith_short_12: VG7B3Q22ML64 · pith_short_16: VG7B3Q22ML64CXVE · pith_short_8: VG7B3Q22

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/VG7B3Q22ML64CXVEHQ3GYOBMQU \
  | 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: a9be1dc35a62fdc15ea43c366c382c85010818d1529c21fbaf382306610164e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6effeaffae3a1a9f0bf659d357e5cff12320888364ba6b305624bd8c520ae2aa",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-17T20:38:08Z",
    "title_canon_sha256": "269774fff23089aeb4dacbf4332cda4d2fcec8b0e5ae27135fb11309f23b862b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3575",
    "kind": "arxiv",
    "version": 1
  }
}