Pith Number

pith:6ZF35S5G

pith:2026:6ZF35S5G3X6G37QLGNNGWABQOI

not attested not anchored not stored refs pending

Forward Construction of Vacuum Initial Data with Borderline Decay

Sergiu Klainerman, Xuantao Chen

arxiv:2606.08716 v1 · 2026-06-07 · gr-qc · math.AP · 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{6ZF35S5G3X6G37QLGNNGWABQOI}

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	2026-06-09T01:05:48.101490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f64bbecba6ddfc6dfe0b335a6b00307227c00c5a521aa9a34e18a0a9bc3cc575

Aliases

arxiv: 2606.08716 · arxiv_version: 2606.08716v1 · doi: 10.48550/arxiv.2606.08716 · pith_short_12: 6ZF35S5G3X6G · pith_short_16: 6ZF35S5G3X6G37QL · pith_short_8: 6ZF35S5G

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/6ZF35S5G3X6G37QLGNNGWABQOI \
  | 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: f64bbecba6ddfc6dfe0b335a6b00307227c00c5a521aa9a34e18a0a9bc3cc575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fbc1810caf8dae010c0ad24a6e92d8cf6c99be5c071613f714c5c3e97060b90",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-07T16:15:31Z",
    "title_canon_sha256": "73c0820f12bb78cfa7e463d3436fa47329363cd8b13fc8543696550c3ba88a41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08716",
    "kind": "arxiv",
    "version": 1
  }
}