Pith Number

pith:VU7JO2VG

pith:2022:VU7JO2VGPC5LKWQSB5IH7WHXAH

not attested not anchored not stored refs pending

Scattering theory and an index theorem on the radial part of SL(2,R)

H. Inoue, S. Richard

arxiv:2210.02609 v1 · 2022-10-05 · math-ph · math.MP · 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{VU7JO2VGPC5LKWQSB5IH7WHXAH}

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	2026-07-05T05:03:54.654106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad3e976aa678bab55a120f507fd8f701f148b225dc68b8667e9d2728df76dc1c

Aliases

arxiv: 2210.02609 · arxiv_version: 2210.02609v1 · doi: 10.48550/arxiv.2210.02609 · pith_short_12: VU7JO2VGPC5L · pith_short_16: VU7JO2VGPC5LKWQS · pith_short_8: VU7JO2VG

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/VU7JO2VGPC5LKWQSB5IH7WHXAH \
  | 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: ad3e976aa678bab55a120f507fd8f701f148b225dc68b8667e9d2728df76dc1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "183a1fba740247f69ecdab2fbf57b78e59cddbe55a544bf519b87dc1a0058d50",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-10-05T23:54:58Z",
    "title_canon_sha256": "c698190c68f5e81180295319a1b7e71bc1cb3f28c1c921c7aeaf992ccec940ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.02609",
    "kind": "arxiv",
    "version": 1
  }
}