Pith Number

pith:I25C3BST

pith:2021:I25C3BSTVA6KKTREUKVVZULYXB

not attested not anchored not stored refs pending

Propagation of smallness and spectral estimates

Iv\'an Moyano (DPMMS), Nicolas Burq (AGM - UMR 8088)

arxiv:2109.06654 v1 · 2021-09-14 · 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{I25C3BSTVA6KKTREUKVVZULYXB}

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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.

Cited by

1 paper in Pith

Spectral inequalities for Schr\"odinger equations and quantitative propagation of smallness in the plane

Receipt and verification

First computed	2026-07-05T03:14:28.973955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ba2d8653a83ca54e24a2ab5cd178b870e1703374f06c12bd2d51005722ef45

Aliases

arxiv: 2109.06654 · arxiv_version: 2109.06654v1 · doi: 10.48550/arxiv.2109.06654 · pith_short_12: I25C3BSTVA6K · pith_short_16: I25C3BSTVA6KKTRE · pith_short_8: I25C3BST

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/I25C3BSTVA6KKTREUKVVZULYXB \
  | 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: 46ba2d8653a83ca54e24a2ab5cd178b870e1703374f06c12bd2d51005722ef45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9603ea7f9808d4b66be560e903c103cb7c5789503024379ef4a7b3ce7263f40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-14T12:56:40Z",
    "title_canon_sha256": "ee6db47c1d07b320b98a9478583cc76e1e9abb4976c56f8365d9723f4a713ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.06654",
    "kind": "arxiv",
    "version": 1
  }
}