Pith Number

pith:AC3QKBSF

pith:2015:AC3QKBSF66NF4BYPSFUOG2R6GT

not attested not anchored not stored refs pending

Adjoint of sums and products of operators in Hilbert spaces

Zolt\'an Sebesty\'en, Zsigmond Tarcsay

arxiv:1507.08418 v1 · 2015-07-30 · 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{AC3QKBSF66NF4BYPSFUOG2R6GT}

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	2026-05-18T01:36:06.523204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00b7050645f79a5e070f9168e36a3e34df14aadad69e4afbc890cfa0f5ddad6f

Aliases

arxiv: 1507.08418 · arxiv_version: 1507.08418v1 · doi: 10.48550/arxiv.1507.08418 · pith_short_12: AC3QKBSF66NF · pith_short_16: AC3QKBSF66NF4BYP · pith_short_8: AC3QKBSF

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/AC3QKBSF66NF4BYPSFUOG2R6GT \
  | 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: 00b7050645f79a5e070f9168e36a3e34df14aadad69e4afbc890cfa0f5ddad6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8536444e381f0c589a77c9544397a1f401868f849647830269090a53a920f5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-30T08:43:59Z",
    "title_canon_sha256": "063eca3fb4c6c6b4340fe1fe539897f6b9b586e841e305e896ab90e0f9255b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08418",
    "kind": "arxiv",
    "version": 1
  }
}