Pith Number

pith:ZBZA4DKS

pith:2011:ZBZA4DKS4F6YC7LVPQKJW6QPUN

not attested not anchored not stored refs pending

Spectral analysis and time-dependent scattering theory on manifolds with asymptotically cylindrical ends

R. Tiedra de Aldecoa, S. Richard

arxiv:1108.5018 v1 · 2011-08-25 · math-ph · math.DG · 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{ZBZA4DKS4F6YC7LVPQKJW6QPUN}

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	2026-05-18T04:14:45.588897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8720e0d52e17d817d757c149b7a0fa34f80486ae6af847c05bc47b80f57d36f

Aliases

arxiv: 1108.5018 · arxiv_version: 1108.5018v1 · doi: 10.48550/arxiv.1108.5018 · pith_short_12: ZBZA4DKS4F6Y · pith_short_16: ZBZA4DKS4F6YC7LV · pith_short_8: ZBZA4DKS

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/ZBZA4DKS4F6YC7LVPQKJW6QPUN \
  | 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: c8720e0d52e17d817d757c149b7a0fa34f80486ae6af847c05bc47b80f57d36f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf0084025015e2f863f000c0828d67f0bd719f6838ce785084baa6c81252937a",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-25T06:08:41Z",
    "title_canon_sha256": "c2210c452b98e9e56af5475f3cbdb7a2749225b147e81928f996883d93a161b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5018",
    "kind": "arxiv",
    "version": 1
  }
}