Pith Number

pith:UYUYTHLZ

pith:2010:UYUYTHLZGMVI654WDPR6Q5U7O6

not attested not anchored not stored refs pending

2D- and 3DMagnetic Schroedinger Operators: Short Loops, Pointwise Spectral Asymptotics and Asymptotics of Dirac Energy

Victor Ivrii

arxiv:1008.3587 v2 · 2010-08-21 · math.SP · math-ph · math.AP · 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{UYUYTHLZGMVI654WDPR6Q5U7O6}

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	2026-05-18T04:34:01.301423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a629899d79332a8f77961be3e8769f7796aff4b925d663544525f2e322fe813c

Aliases

arxiv: 1008.3587 · arxiv_version: 1008.3587v2 · doi: 10.48550/arxiv.1008.3587 · pith_short_12: UYUYTHLZGMVI · pith_short_16: UYUYTHLZGMVI654W · pith_short_8: UYUYTHLZ

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/UYUYTHLZGMVI654WDPR6Q5U7O6 \
  | 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: a629899d79332a8f77961be3e8769f7796aff4b925d663544525f2e322fe813c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d81066c8cc64ecbf801022b37aba1daba7eebe7a79eed1ea8246f9bfe09f4e",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-08-21T01:00:56Z",
    "title_canon_sha256": "e0cc10ef8c37230f4de986408e6bc01a69d023de4f8250993a9c3397a5fdfa8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3587",
    "kind": "arxiv",
    "version": 2
  }
}