Pith Number

pith:P455KYXN

pith:2007:P455KYXNNBALBEJBOCRBAXIPID

not attested not anchored not stored refs pending

p-Adic Schr\"{o}dinger-Type Operator with Point Interactions

S. Albeverio, S. Kuzhel, S. Torba

arxiv:math-ph/0703077 v2 · 2007-03-27 · math-ph · math.MP · 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{P455KYXNNBALBEJBOCRBAXIPID}

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	2026-05-18T01:38:30.854431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f3bd562ed6840b0912170a2105d0f40d08a9b0830f09893cc1a322b0f3ca78f

Aliases

arxiv: math-ph/0703077 · arxiv_version: math-ph/0703077v2 · doi: 10.48550/arxiv.math-ph/0703077 · pith_short_12: P455KYXNNBAL · pith_short_16: P455KYXNNBALBEJB · pith_short_8: P455KYXN

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/P455KYXNNBALBEJBOCRBAXIPID \
  | 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: 7f3bd562ed6840b0912170a2105d0f40d08a9b0830f09893cc1a322b0f3ca78f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eddda34ab3eb38c8d81d1331d5bca97e578db48eb2392a10f686ece7fc9ad21",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-03-27T14:58:41Z",
    "title_canon_sha256": "296c9fceda2d07b21d853692c32de1c458305319294f726ec1cddefb4b57a95c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0703077",
    "kind": "arxiv",
    "version": 2
  }
}