Pith Number

pith:GACOTMIX

pith:2008:GACOTMIXHGNBEZZWQ7NC3FMHDM

not attested not anchored not stored refs pending

Time-dependent scattering theory for Schr\"odinger operators on scattering manifolds

Kenichi Ito, Shu Nakamura

arxiv:0810.1575 v1 · 2008-10-09 · math-ph · math.AP · 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{GACOTMIXHGNBEZZWQ7NC3FMHDM}

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	2026-05-18T02:58:11.078896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3004e9b117399a12673687da2d95871b39c10efbb8bbc5403e53e78b4c31b761

Aliases

arxiv: 0810.1575 · arxiv_version: 0810.1575v1 · doi: 10.48550/arxiv.0810.1575 · pith_short_12: GACOTMIXHGNB · pith_short_16: GACOTMIXHGNBEZZW · pith_short_8: GACOTMIX

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/GACOTMIXHGNBEZZWQ7NC3FMHDM \
  | 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: 3004e9b117399a12673687da2d95871b39c10efbb8bbc5403e53e78b4c31b761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0278626d5a4aa5414eb7810a7fa7bcbc928f5d4fac729b4c2ab0b41e5bf71815",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-10-09T05:21:17Z",
    "title_canon_sha256": "1a961bf5dc935e7796ad12f8e565123c36ff984b1ed9edb7bfeee910cd4438c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.1575",
    "kind": "arxiv",
    "version": 1
  }
}