Pith Number

pith:PGV6WAWP

pith:2019:PGV6WAWPEXV3JXF7VWJ66V4KB5

not attested not anchored not stored refs pending

Skew-Hermitian operators in real Banach spaces of self-adjoint compact operators

B. Aminov, Vladimir Chilin

arxiv:1907.07147 v1 · 2019-07-15 · 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{PGV6WAWPEXV3JXF7VWJ66V4KB5}

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	2026-05-17T23:40:27.874825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79abeb02cf25ebb4dcbfad93ef578a0f6f1c1bda59063f255c25c3c9b7edb6ed

Aliases

arxiv: 1907.07147 · arxiv_version: 1907.07147v1 · doi: 10.48550/arxiv.1907.07147 · pith_short_12: PGV6WAWPEXV3 · pith_short_16: PGV6WAWPEXV3JXF7 · pith_short_8: PGV6WAWP

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/PGV6WAWPEXV3JXF7VWJ66V4KB5 \
  | 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: 79abeb02cf25ebb4dcbfad93ef578a0f6f1c1bda59063f255c25c3c9b7edb6ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca2290937f7e3c6bc291a1d562c140f2f55feb8c135ad942175fc837f70e04a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-15T02:47:23Z",
    "title_canon_sha256": "74b456ac27e87e819c5be53073615dee5a35447f31cc2dbc4e5ff4319dc1e91d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07147",
    "kind": "arxiv",
    "version": 1
  }
}