Pith Number

pith:V4FNHC6P

pith:2018:V4FNHC6POLAQGJ2QSVIWMOGGWZ

not attested not anchored not stored refs pending

Sharp resolvent and time decay estimates for dispersive equations on asymptotically Euclidean backgrounds

Jean-Marc Bouclet (IMT), Nicolas Burq (LM-Orsay)

arxiv:1810.01711 v1 · 2018-10-03 · 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{V4FNHC6POLAQGJ2QSVIWMOGGWZ}

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	2026-05-18T00:04:11.184469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af0ad38bcf72c103275095516638c6b65776965a9b33bce858a06b4caa58e03c

Aliases

arxiv: 1810.01711 · arxiv_version: 1810.01711v1 · doi: 10.48550/arxiv.1810.01711 · pith_short_12: V4FNHC6POLAQ · pith_short_16: V4FNHC6POLAQGJ2Q · pith_short_8: V4FNHC6P

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/V4FNHC6POLAQGJ2QSVIWMOGGWZ \
  | 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: af0ad38bcf72c103275095516638c6b65776965a9b33bce858a06b4caa58e03c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b1cc37f01675f416b41c29ccc434a6572ba5ed087242a6995fdffd696bce45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-03T12:17:05Z",
    "title_canon_sha256": "ed5144a76535a11d0cae142cb53e540be4eadcfc4409c7805c4bf6bfddad1ebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01711",
    "kind": "arxiv",
    "version": 1
  }
}