Pith Number

pith:BTN5JGMF

pith:2011:BTN5JGMFYBGVGUMLT473JM6NTK

not attested not anchored not stored refs pending

Introduction to spectral theory and inverse problem on asymptotically hyperbolic manifolds

Hiroshi Isozaki, Yaroslav Kurylev

arxiv:1102.5382 v2 · 2011-02-26 · 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{BTN5JGMFYBGVGUMLT473JM6NTK}

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	2026-05-18T03:48:23.564914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cdbd49985c04d53518b9f3fb4b3cd9ab49349812e6266492fbc880418f7a526

Aliases

arxiv: 1102.5382 · arxiv_version: 1102.5382v2 · doi: 10.48550/arxiv.1102.5382 · pith_short_12: BTN5JGMFYBGV · pith_short_16: BTN5JGMFYBGVGUML · pith_short_8: BTN5JGMF

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/BTN5JGMFYBGVGUMLT473JM6NTK \
  | 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: 0cdbd49985c04d53518b9f3fb4b3cd9ab49349812e6266492fbc880418f7a526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af33ec1ac60f1cc89041bc8ec401b0f5140a4eb58edb529f663b7879b77d53e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-02-26T01:07:42Z",
    "title_canon_sha256": "1d66e109dbfc5408bc6524b2c5d402073ed67927cc91914473054d3525a74311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5382",
    "kind": "arxiv",
    "version": 2
  }
}