Pith Number

pith:6SAGUS2Q

pith:2019:6SAGUS2QM4US2GWH2BTTPIG66Q

not attested not anchored not stored refs pending

High energy bounds on wave operators

Daniela Cadamuro, Gandalf Lechner, Henning Bostelmann

arxiv:1912.11092 v2 · 2019-12-23 · math.FA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SAGUS2QM4US2GWH2BTTPIG66Q}

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	2026-07-05T02:49:09.753166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4806a4b5067292d1ac7d06737a0def42fbfbec9dd780f3a92e2ab30e45d1dd6

Aliases

arxiv: 1912.11092 · arxiv_version: 1912.11092v2 · doi: 10.48550/arxiv.1912.11092 · pith_short_12: 6SAGUS2QM4US · pith_short_16: 6SAGUS2QM4US2GWH · pith_short_8: 6SAGUS2Q

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/6SAGUS2QM4US2GWH2BTTPIG66Q \
  | 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: f4806a4b5067292d1ac7d06737a0def42fbfbec9dd780f3a92e2ab30e45d1dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50db29d63f47807a65ac4b774a4cfeaf3dc2d5934076a88db3b08d39d6af86ec",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-12-23T20:08:21Z",
    "title_canon_sha256": "b0b87c6024efbaa0349f7f4c43f619c2ec1a81e416cc78156d8ff2ca1e00b48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.11092",
    "kind": "arxiv",
    "version": 2
  }
}