Pith Number

pith:BGTNNGZ6

pith:2012:BGTNNGZ63F5ATW4GFFSLHHSBF3

not attested not anchored not stored refs pending

Domain dependence of eigenvalues of elliptic type operators

Vladimir Kozlov

arxiv:1203.2093 v1 · 2012-03-09 · math.SP · math.AP · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGTNNGZ63F5ATW4GFFSLHHSBF3}

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	2026-05-18T04:00:27.524945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a6d69b3ed97a09db862964b39e412eca4ef5641c56bdad103cd2a5d07bbd18

Aliases

arxiv: 1203.2093 · arxiv_version: 1203.2093v1 · doi: 10.48550/arxiv.1203.2093 · pith_short_12: BGTNNGZ63F5A · pith_short_16: BGTNNGZ63F5ATW4G · pith_short_8: BGTNNGZ6

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/BGTNNGZ63F5ATW4GFFSLHHSBF3 \
  | 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: 09a6d69b3ed97a09db862964b39e412eca4ef5641c56bdad103cd2a5d07bbd18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f82729bdf3390a5a304ebdbe265dc7301d7a1764d096b9bb851d1b64900c3d3",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-03-09T14:22:43Z",
    "title_canon_sha256": "f36080150137c08ded42714381f15683536440cf02d905bc3ab1bcd72f1362df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2093",
    "kind": "arxiv",
    "version": 1
  }
}