Pith Number

pith:5E2EX4OJ

pith:2006:5E2EX4OJBHTESLFMMOLYKYVW3O

not attested not anchored not stored refs pending

Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case

D. Borisov, P. Exner

arxiv:math-ph/0606022 v1 · 2006-06-07 · math-ph · 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{5E2EX4OJBHTESLFMMOLYKYVW3O}

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	2026-05-18T01:38:32.812190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9344bf1c909e6492cac63978562b6dbbf1bae2232b266d8bdfbf3581368264c

Aliases

arxiv: math-ph/0606022 · arxiv_version: math-ph/0606022v1 · doi: 10.48550/arxiv.math-ph/0606022 · pith_short_12: 5E2EX4OJBHTE · pith_short_16: 5E2EX4OJBHTESLFM · pith_short_8: 5E2EX4OJ

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/5E2EX4OJBHTESLFMMOLYKYVW3O \
  | 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: e9344bf1c909e6492cac63978562b6dbbf1bae2232b266d8bdfbf3581368264c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0df4df031d73416ce36a2fdeec16405b8ea9a7e918e88638283fcfd4181f36bd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-06-07T11:58:25Z",
    "title_canon_sha256": "1a89f1c9a3262eda9f13a2d9b3dcf3a997145f3be9e9d90150cfe8879c9ceb49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0606022",
    "kind": "arxiv",
    "version": 1
  }
}