Pith Number

pith:P5XGWOS6

pith:2018:P5XGWOS64DOSGLNPM2S3VIMSAK

not attested not anchored not stored refs pending

The weak null condition and global existence using the p-weighted energy method

Joseph Keir

arxiv:1808.09982 v3 · 2018-08-29 · math.AP · gr-qc · math-ph · math.DG · 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{P5XGWOS64DOSGLNPM2S3VIMSAK}

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.

Cited by

2 papers in Pith

Constraint damping on subextremal Kerr spacetimes

(Non-)Linear waves on asymptotically flat spacetimes. II: trapping, bound states, nonlinear applications

Receipt and verification

First computed	2026-05-18T00:04:29.339410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6e6b3a5ee0dd232daf66a5baa19202bf74885ed838822961ad071d87f33dc8

Aliases

arxiv: 1808.09982 · arxiv_version: 1808.09982v3 · doi: 10.48550/arxiv.1808.09982 · pith_short_12: P5XGWOS64DOS · pith_short_16: P5XGWOS64DOSGLNP · pith_short_8: P5XGWOS6

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/P5XGWOS64DOSGLNPM2S3VIMSAK \
  | 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: 7f6e6b3a5ee0dd232daf66a5baa19202bf74885ed838822961ad071d87f33dc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00ae7fcac6b732de63d2cdd61c211189ce91b98e50ea874f403866c2273f4a3a",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-29T18:01:19Z",
    "title_canon_sha256": "78e40e9f14de140b0aeb5f4e9305ac04e160578f2485a9c317ea16ca0532b519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09982",
    "kind": "arxiv",
    "version": 3
  }
}