Pith Number

pith:GAKSGXZW

pith:2004:GAKSGXZWVO467J577OYT6DNBF6

not attested not anchored not stored refs pending

Boundary spectral behaviour for semiclassical operators in one dimension

Michael Hitrik

arxiv:math/0401288 v1 · 2004-01-22 · math.SP · 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{GAKSGXZWVO467J577OYT6DNBF6}

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	2026-07-04T14:38:10.718605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3015235f36abb9efa7bffbb13f0da12f864243d2b91f08a7da4dc69408cbb2bd

Aliases

arxiv: math/0401288 · arxiv_version: math/0401288v1 · doi: 10.48550/arxiv.math/0401288 · pith_short_12: GAKSGXZWVO46 · pith_short_16: GAKSGXZWVO467J57 · pith_short_8: GAKSGXZW

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/GAKSGXZWVO467J577OYT6DNBF6 \
  | 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: 3015235f36abb9efa7bffbb13f0da12f864243d2b91f08a7da4dc69408cbb2bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83111caa46436f8d34145c2f4c79d2b30adeb1d34238f12c713f54adbb687a7a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2004-01-22T01:12:16Z",
    "title_canon_sha256": "84a79a27840678065862f3d0214a05820a2a8441d3f58aef0f7bef759c182c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401288",
    "kind": "arxiv",
    "version": 1
  }
}