Pith Number

pith:INYTL4PN

pith:2013:INYTL4PNSYBFLAKIQW2SQH7DXR

not attested not anchored not stored refs pending

Notes on the Krupa-Zawisza Ultrapower of Self-Adjoint Operators

Hayato Saigo, Hiroshi Ando, Izumi Ojima

arxiv:1305.1827 v1 · 2013-05-08 · 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{INYTL4PNSYBFLAKIQW2SQH7DXR}

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	2026-05-18T03:26:11.117110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

437135f1ed960255814885b5281fe3bc65e84ae679b7b119aedf1e086eea3d9d

Aliases

arxiv: 1305.1827 · arxiv_version: 1305.1827v1 · doi: 10.48550/arxiv.1305.1827 · pith_short_12: INYTL4PNSYBF · pith_short_16: INYTL4PNSYBFLAKI · pith_short_8: INYTL4PN

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/INYTL4PNSYBFLAKIQW2SQH7DXR \
  | 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: 437135f1ed960255814885b5281fe3bc65e84ae679b7b119aedf1e086eea3d9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f34f77c56dc02030f6a5deb290b10f20b5e4861b3bc2fa495a34968e34ab4d8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-08T14:25:33Z",
    "title_canon_sha256": "e53c726ca4f95165703f66b7b839ccc848ca842bca10abf68096d41a9e0eeec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1827",
    "kind": "arxiv",
    "version": 1
  }
}