Pith Number

pith:FSBYHHNX

pith:2012:FSBYHHNXP3BEVJQFTYO4YJBGOP

not attested not anchored not stored refs pending

Low energy spectral and scattering theory for relativistic Schroedinger operators

S. Richard, T. Umeda

arxiv:1208.2006 v2 · 2012-08-09 · 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{FSBYHHNXP3BEVJQFTYO4YJBGOP}

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	2026-05-18T01:32:44.018331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c83839db77ec24aa6059e1dcc242673c0ec05215567053f651e5db16b5ec3a9

Aliases

arxiv: 1208.2006 · arxiv_version: 1208.2006v2 · doi: 10.48550/arxiv.1208.2006 · pith_short_12: FSBYHHNXP3BE · pith_short_16: FSBYHHNXP3BEVJQF · pith_short_8: FSBYHHNX

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/FSBYHHNXP3BEVJQFTYO4YJBGOP \
  | 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: 2c83839db77ec24aa6059e1dcc242673c0ec05215567053f651e5db16b5ec3a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae9cd4dccf0b6206773e027ea4208b28197e929471f5e3b02e8ece9b51321565",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-09T19:12:27Z",
    "title_canon_sha256": "c6379c0419047e3953e32e57095cee8269cc06345e2b3298c864a872593040d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2006",
    "kind": "arxiv",
    "version": 2
  }
}