Pith Number

pith:VOUIPO4W

pith:2005:VOUIPO4W6ZCDIORP4PC52M5QPD

not attested not anchored not stored refs pending

Bound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials

David Damanik, Gerald Teschl

arxiv:math/0509110 v1 · 2005-09-05 · 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{VOUIPO4W6ZCDIORP4PC52M5QPD}

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	2026-05-18T01:31:53.773354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aba887bb96f644343a2fe3c5dd33b078c85cbd60ba951318b2328b9dc5e312df

Aliases

arxiv: math/0509110 · arxiv_version: math/0509110v1 · doi: 10.48550/arxiv.math/0509110 · pith_short_12: VOUIPO4W6ZCD · pith_short_16: VOUIPO4W6ZCDIORP · pith_short_8: VOUIPO4W

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/VOUIPO4W6ZCDIORP4PC52M5QPD \
  | 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: aba887bb96f644343a2fe3c5dd33b078c85cbd60ba951318b2328b9dc5e312df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2abe59a930961bc0b895277557a94d7f323fd2bcd6a5ffc7284ae6ae88a7798",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2005-09-05T20:24:10Z",
    "title_canon_sha256": "2655becb970379e6c8bf3b1bf5f319fa68fec288525cef48fbe9e757dac31407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509110",
    "kind": "arxiv",
    "version": 1
  }
}