Pith Number

pith:4VAC4DAJ

pith:2015:4VAC4DAJO6P7535RHAXGQ3JVKM

not attested not anchored not stored refs pending

Self-Adjointness of Deformed Unbounded Operators

Albert Much

arxiv:1506.03052 v3 · 2015-06-09 · math-ph · hep-th · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VAC4DAJO6P7535RHAXGQ3JVKM}

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	2026-05-18T01:22:50.625244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5402e0c09779ffeefb1382e686d3553369523aebe9aecf8b8a78d0f4b2bc87a

Aliases

arxiv: 1506.03052 · arxiv_version: 1506.03052v3 · doi: 10.48550/arxiv.1506.03052 · pith_short_12: 4VAC4DAJO6P7 · pith_short_16: 4VAC4DAJO6P7535R · pith_short_8: 4VAC4DAJ

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/4VAC4DAJO6P7535RHAXGQ3JVKM \
  | 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: e5402e0c09779ffeefb1382e686d3553369523aebe9aecf8b8a78d0f4b2bc87a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "667772c56d5787cc1ea8d9abec108c544228aa7f62116d540a49e9e43c4a6ec8",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-09T19:23:19Z",
    "title_canon_sha256": "d85a3d072be42302476cbcf349eb342acc1eab7c447cbc4a9445beaf651b3f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03052",
    "kind": "arxiv",
    "version": 3
  }
}