Pith Number

pith:JLNSPEC7

pith:2020:JLNSPEC7QAMZ3VTBEPRT3MJ7FF

not attested not anchored not stored refs pending

Spacetime integral bounds for the energy-critical nonlinear wave equation

Benjamin Dodson

arxiv:2010.07771 v1 · 2020-10-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLNSPEC7QAMZ3VTBEPRT3MJ7FF}

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	2026-07-05T01:43:20.435913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4adb27905f80199dd66123e33db13f294f3637f1126afb9bf82551a394ca8253

Aliases

arxiv: 2010.07771 · arxiv_version: 2010.07771v1 · doi: 10.48550/arxiv.2010.07771 · pith_short_12: JLNSPEC7QAMZ · pith_short_16: JLNSPEC7QAMZ3VTB · pith_short_8: JLNSPEC7

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/JLNSPEC7QAMZ3VTBEPRT3MJ7FF \
  | 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: 4adb27905f80199dd66123e33db13f294f3637f1126afb9bf82551a394ca8253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e851d66da7e72bea8544b72b7b3cce33fc2ba1b01c88a2d3b12affb600e19f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-10-15T14:07:25Z",
    "title_canon_sha256": "fb68b1d033c55b00d2a4d36707821ba067a61aee23e68f7ea815f85dcccad4a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.07771",
    "kind": "arxiv",
    "version": 1
  }
}