Pith Number

pith:Y37KZAEC

pith:2011:Y37KZAEC3T5HQI2FXTBUTLOPJJ

not attested not anchored not stored refs pending

On Cayley Identity for Self-Adjoint Operators in Hilbert Spaces

Alexander V. Kiselev, Serguei Naboko

arxiv:1112.3001 v1 · 2011-12-13 · 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{Y37KZAEC3T5HQI2FXTBUTLOPJJ}

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	2026-05-18T04:06:31.794621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6feac8082dcfa782345bcc349adcf4a51dc9ce176515198020b2e07184e0d10

Aliases

arxiv: 1112.3001 · arxiv_version: 1112.3001v1 · doi: 10.48550/arxiv.1112.3001 · pith_short_12: Y37KZAEC3T5H · pith_short_16: Y37KZAEC3T5HQI2F · pith_short_8: Y37KZAEC

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/Y37KZAEC3T5HQI2FXTBUTLOPJJ \
  | 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: c6feac8082dcfa782345bcc349adcf4a51dc9ce176515198020b2e07184e0d10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7b4bf2f0206fdedf070bf1a4581986e1556beb0d8d985877c0a72ab83319fbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-12-13T18:59:43Z",
    "title_canon_sha256": "6ef1dc84bc723b0fc137837a9e38ccb4b27165bb3343e0540125aa0ee5bcb196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3001",
    "kind": "arxiv",
    "version": 1
  }
}