Pith Number

pith:B3GA6MXY

pith:2013:B3GA6MXYKILESGIF6BATBBERTV

not attested not anchored not stored refs pending

Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schr\"odinger equations

Carlos E. Kenig, Frank Merle, Thomas Duyckaerts

arxiv:1311.0665 v3 · 2013-11-04 · 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{B3GA6MXYKILESGIF6BATBBERTV}

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	2026-05-18T02:55:57.170143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ecc0f32f85216491905f0413084919d4c310845e1240ab6d3ad10448a777e66

Aliases

arxiv: 1311.0665 · arxiv_version: 1311.0665v3 · doi: 10.48550/arxiv.1311.0665 · pith_short_12: B3GA6MXYKILE · pith_short_16: B3GA6MXYKILESGIF · pith_short_8: B3GA6MXY

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/B3GA6MXYKILESGIF6BATBBERTV \
  | 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: 0ecc0f32f85216491905f0413084919d4c310845e1240ab6d3ad10448a777e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c89d3df646b5953ef6d8cbf06f796a59e5975c36732794e9a44603c63db9b1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-04T12:10:04Z",
    "title_canon_sha256": "1137a5932a81607661b13425a21bc9f829070a68eabff2b8c4fa519cc12fbbb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0665",
    "kind": "arxiv",
    "version": 3
  }
}