Pith Number

pith:YSHNT7VO

pith:2015:YSHNT7VOV2OIUD6OFS6GBXCUTZ

not attested not anchored not stored refs pending

Functional Calculus for definitizable self-adjoint linear relations on Krein spaces

Michael Kaltenb\"ack, Raphael Pruckner

arxiv:1502.03222 v2 · 2015-02-11 · 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{YSHNT7VOV2OIUD6OFS6GBXCUTZ}

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	2026-05-18T01:31:11.349872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c48ed9feaeae9c8a0fce2cbc60dc549e7aca0ded27f81e71aa99021c22d015b7

Aliases

arxiv: 1502.03222 · arxiv_version: 1502.03222v2 · doi: 10.48550/arxiv.1502.03222 · pith_short_12: YSHNT7VOV2OI · pith_short_16: YSHNT7VOV2OIUD6O · pith_short_8: YSHNT7VO

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/YSHNT7VOV2OIUD6OFS6GBXCUTZ \
  | 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: c48ed9feaeae9c8a0fce2cbc60dc549e7aca0ded27f81e71aa99021c22d015b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ac97698184221da19be75217a30038853044b2e597357ca2ee5e2e0068855e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-11T08:57:10Z",
    "title_canon_sha256": "cbe5dd0d216f02e26ca4a756e2c04297c61b63f8125670cb5062aae964dffb8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03222",
    "kind": "arxiv",
    "version": 2
  }
}