Pith Number

pith:4RURNO3H

pith:2020:4RURNO3HZ53NVEWFNKNLLLMUUE

not attested not anchored not stored refs pending

Inverse Scattering for Critical Semilinear Wave Equations

Ant\^onio S\'a Barreto, Gunther Uhlmann, Yiran Wang

arxiv:2003.03822 v1 · 2020-03-08 · 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{4RURNO3HZ53NVEWFNKNLLLMUUE}

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	2026-07-05T05:07:31.898145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e46916bb67cf76da92c56a9ab5ad94a114a3a2948072e66436d784023a5b5704

Aliases

arxiv: 2003.03822 · arxiv_version: 2003.03822v1 · doi: 10.48550/arxiv.2003.03822 · pith_short_12: 4RURNO3HZ53N · pith_short_16: 4RURNO3HZ53NVEWF · pith_short_8: 4RURNO3H

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/4RURNO3HZ53NVEWFNKNLLLMUUE \
  | 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: e46916bb67cf76da92c56a9ab5ad94a114a3a2948072e66436d784023a5b5704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e927094b2fca88f5c2e400761e1a55188ad85e3d8f3fcb82fd67aa6e24d2f971",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-03-08T18:25:32Z",
    "title_canon_sha256": "62530d244919ddabd4954ecc0f1c8b301d2002cc485b6bf2d657477e68738361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.03822",
    "kind": "arxiv",
    "version": 1
  }
}