Pith Number

pith:TV7HXZ33

pith:2014:TV7HXZ33OGPSKYBYIUPOBXZEV7

not attested not anchored not stored refs pending

Profiles for the radial focusing 4d energy-critical wave equation

Andrew Lawrie, Carlos E. Kenig, Raphael Cote, Wilhelm Schlag

arxiv:1402.2307 v2 · 2014-02-10 · 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{TV7HXZ33OGPSKYBYIUPOBXZEV7}

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	2026-05-18T02:59:17.784666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d7e7be77b719f256038451ee0df24afeb6fd74084f56ef3b511c5fde9d20802

Aliases

arxiv: 1402.2307 · arxiv_version: 1402.2307v2 · doi: 10.48550/arxiv.1402.2307 · pith_short_12: TV7HXZ33OGPS · pith_short_16: TV7HXZ33OGPSKYBY · pith_short_8: TV7HXZ33

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/TV7HXZ33OGPSKYBYIUPOBXZEV7 \
  | 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: 9d7e7be77b719f256038451ee0df24afeb6fd74084f56ef3b511c5fde9d20802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bb7d49b6fba09439efda0fc0ba5611134d0a721f9e7a1ebf185837f0df72da8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-10T21:22:28Z",
    "title_canon_sha256": "7eca2a4d8a785b8668e3972d6d38a5ef89983f118d3fc36bee096c8c168c26ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2307",
    "kind": "arxiv",
    "version": 2
  }
}