Pith Number

pith:I5OODZ6I

pith:2026:I5OODZ6IJ4NFCRJSR7KBOTVKVH

not attested not anchored not stored refs pending

A Physical space derivation of Morawetz-Energy estimates in Kerr spacetimes with large angular momentum

Lili He, Sergiu Klainerman

arxiv:2607.08958 v1 · 2026-07-09 · 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{I5OODZ6IJ4NFCRJSR7KBOTVKVH}

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	2026-07-13T00:17:29.810906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475ce1e7c84f1a5145328fd4174eaaa9e6571c833cfa784585247b7869d425e0

Aliases

arxiv: 2607.08958 · arxiv_version: 2607.08958v1 · doi: 10.48550/arxiv.2607.08958 · pith_short_12: I5OODZ6IJ4NF · pith_short_16: I5OODZ6IJ4NFCRJS · pith_short_8: I5OODZ6I

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/I5OODZ6IJ4NFCRJSR7KBOTVKVH \
  | 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: 475ce1e7c84f1a5145328fd4174eaaa9e6571c833cfa784585247b7869d425e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ef184f6b7be739603d6840da5d828473012131e3b6297f9cfdc6e88d8226677",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-09T21:48:50Z",
    "title_canon_sha256": "71a797aa3a751e6dcedcaa16103cfeb37104ce8016e820234f5f7755466995aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08958",
    "kind": "arxiv",
    "version": 1
  }
}