Pith Number

pith:ST3PLVTX

pith:2010:ST3PLVTXHE6Y5UJWM765VFBH55

not attested not anchored not stored refs pending

Symmetric operators with real defect subspaces of the maximal dimension. Applications to differential operators

Vadim Mogilevskii

arxiv:1012.3954 v1 · 2010-12-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ST3PLVTXHE6Y5UJWM765VFBH55}

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	2026-05-18T04:33:03.526364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94f6f5d677393d8ed13667fdda9427ef676d929ed2f3af3fb46fb21485e6facc

Aliases

arxiv: 1012.3954 · arxiv_version: 1012.3954v1 · doi: 10.48550/arxiv.1012.3954 · pith_short_12: ST3PLVTXHE6Y · pith_short_16: ST3PLVTXHE6Y5UJW · pith_short_8: ST3PLVTX

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/ST3PLVTXHE6Y5UJWM765VFBH55 \
  | 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: 94f6f5d677393d8ed13667fdda9427ef676d929ed2f3af3fb46fb21485e6facc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8579e0fd4d7df57b79312db8c6a4c08be91c2923eaa664f9922205cb0ab2db8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-17T18:34:45Z",
    "title_canon_sha256": "929e85c30040e313b8a467b8490a7ca6a72820e005c8907ca4b58ffbd153332c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3954",
    "kind": "arxiv",
    "version": 1
  }
}