Pith Number

pith:VT3CHIOW

pith:2021:VT3CHIOWZUWOQVJGNGCWNLATRF

not attested not anchored not stored refs pending

Existence of resonances for Schrodinger operators on hyperbolic space

David Borthwick, Yiran Wang

arxiv:2110.06370 v3 · 2021-10-12 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VT3CHIOWZUWOQVJGNGCWNLATRF}

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	2026-07-05T08:47:03.465890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf623a1d6cd2ce85526698566ac13895554c12ebd851b7f9ffbd36f0dbb426d

Aliases

arxiv: 2110.06370 · arxiv_version: 2110.06370v3 · doi: 10.48550/arxiv.2110.06370 · pith_short_12: VT3CHIOWZUWO · pith_short_16: VT3CHIOWZUWOQVJG · pith_short_8: VT3CHIOW

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/VT3CHIOWZUWOQVJGNGCWNLATRF \
  | 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: acf623a1d6cd2ce85526698566ac13895554c12ebd851b7f9ffbd36f0dbb426d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af3096b9b454bd6ebff1f71363c3f91be6b0365983d7ba5aecce34f1a1a85cee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2021-10-12T21:26:29Z",
    "title_canon_sha256": "11583f8250550f08148b86a1dbecf88d2af7f8ade6c243cf0ed62f833e9b3aaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06370",
    "kind": "arxiv",
    "version": 3
  }
}