Pith Number

pith:3N35TPYK

pith:2011:3N35TPYKBCPQAOFUGN4ZCKSTUW

not attested not anchored not stored refs pending

Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures

Konstantin Pankrashkin

arxiv:1109.0712 v1 · 2011-09-04 · math-ph · math.FA · 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{3N35TPYKBCPQAOFUGN4ZCKSTUW}

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	2026-05-18T03:47:01.382729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db77d9bf0a089f0038b43379912a53a58547f09b2bae27b2c0783bd1c51ca9a2

Aliases

arxiv: 1109.0712 · arxiv_version: 1109.0712v1 · doi: 10.48550/arxiv.1109.0712 · pith_short_12: 3N35TPYKBCPQ · pith_short_16: 3N35TPYKBCPQAOFU · pith_short_8: 3N35TPYK

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/3N35TPYKBCPQAOFUGN4ZCKSTUW \
  | 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: db77d9bf0a089f0038b43379912a53a58547f09b2bae27b2c0783bd1c51ca9a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9964720e3d69a138b34101d41c24f6e06c233ad8f29779cb150f3d1dae3019ef",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-04T13:09:26Z",
    "title_canon_sha256": "9590ad60ae8795ddb6971f80a3ac580c6f1c48cee8d4580d989285fa8f0bf202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0712",
    "kind": "arxiv",
    "version": 1
  }
}