Pith Number

pith:EG64KDUR

pith:2012:EG64KDUR2P2HNNRLD274BSFZV6

not attested not anchored not stored refs pending

An example of unitary equivalence between self-adjoint extensions and their parameters

Konstantin Pankrashkin

arxiv:1212.6798 v2 · 2012-12-31 · math.FA · 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{EG64KDUR2P2HNNRLD274BSFZV6}

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	2026-05-18T03:13:21.693962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21bdc50e91d3f476b62b1ebfc0c8b9afbf0c14459b3998cc0268ef0ff5b1df9f

Aliases

arxiv: 1212.6798 · arxiv_version: 1212.6798v2 · doi: 10.48550/arxiv.1212.6798 · pith_short_12: EG64KDUR2P2H · pith_short_16: EG64KDUR2P2HNNRL · pith_short_8: EG64KDUR

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/EG64KDUR2P2HNNRLD274BSFZV6 \
  | 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: 21bdc50e91d3f476b62b1ebfc0c8b9afbf0c14459b3998cc0268ef0ff5b1df9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b18dea7ff7d20c10bf83f9ff096b9097c8eba8a74e52bb850025467aa6a04b6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-31T00:42:28Z",
    "title_canon_sha256": "5d311a56e6fcd1a06faed81c56475d7280c6c193aa209d59e22918e31b1fc5a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6798",
    "kind": "arxiv",
    "version": 2
  }
}