Pith Number

pith:Z6Y2VDLX

pith:2009:Z6Y2VDLXHPONPPHAW7YGH3FXS3

not attested not anchored not stored refs pending

Essential spectra and exponential estimates of eigenfunctions of lattice operators of quantum mechanics

Steffen Roch, Vladimir Rabinovich

arxiv:0901.2843 v1 · 2009-01-19 · 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{Z6Y2VDLXHPONPPHAW7YGH3FXS3}

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	2026-05-18T02:14:56.814602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfb1aa8d773bdcd7bce0b7f063ecb796d7a5ac8989a46b706c5d4f6d21152eaf

Aliases

arxiv: 0901.2843 · arxiv_version: 0901.2843v1 · doi: 10.48550/arxiv.0901.2843 · pith_short_12: Z6Y2VDLXHPON · pith_short_16: Z6Y2VDLXHPONPPHA · pith_short_8: Z6Y2VDLX

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/Z6Y2VDLXHPONPPHAW7YGH3FXS3 \
  | 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: cfb1aa8d773bdcd7bce0b7f063ecb796d7a5ac8989a46b706c5d4f6d21152eaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72804bd70e99862f6beaceacdd9c827b4cc0cd8b3bcff21a3d368f0768e3b367",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-01-19T13:20:17Z",
    "title_canon_sha256": "d831d0f141a2f4b5330f99c776bb2d6a9882a4f7e7c49c2333ee33c16532fe71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2843",
    "kind": "arxiv",
    "version": 1
  }
}