Pith Number

pith:AMYQ2QS7

pith:2013:AMYQ2QS7G3NXZUOTDGYWUDZT6H

not attested not anchored not stored refs pending

Resonance asymptotics for Schrodinger operators on hyperbolic space

Catherine Crompton, David Borthwick

arxiv:1303.6660 v1 · 2013-03-26 · math.SP · 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{AMYQ2QS7G3NXZUOTDGYWUDZT6H}

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	2026-05-18T03:29:40.180700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03310d425f36db7cd1d319b16a0f33f1f7dd02dfaf8b6eab408ba74ba9f0f340

Aliases

arxiv: 1303.6660 · arxiv_version: 1303.6660v1 · doi: 10.48550/arxiv.1303.6660 · pith_short_12: AMYQ2QS7G3NX · pith_short_16: AMYQ2QS7G3NXZUOT · pith_short_8: AMYQ2QS7

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/AMYQ2QS7G3NXZUOTDGYWUDZT6H \
  | 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: 03310d425f36db7cd1d319b16a0f33f1f7dd02dfaf8b6eab408ba74ba9f0f340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6dc23369895abc0256416a732eaedcfee1818befed5356c7e7070c6c5da521e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-03-26T21:00:04Z",
    "title_canon_sha256": "b1983d6723b46a76c14daee9eb06d9c70ca5414165c257b99ec9c484e7569a91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6660",
    "kind": "arxiv",
    "version": 1
  }
}