Pith Number

pith:RAIQBYE2

pith:2019:RAIQBYE2C77YDJYTGVV6JKFCU6

not attested not anchored not stored refs pending

Unitary operators with decomposable corners

Esteban Andruchow

arxiv:1907.08274 v1 · 2019-07-18 · 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{RAIQBYE2C77YDJYTGVV6JKFCU6}

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	2026-05-17T23:40:10.365480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881100e09a17ff81a713356be4a8a2a787f47a4b5171df685de10a264b36f133

Aliases

arxiv: 1907.08274 · arxiv_version: 1907.08274v1 · doi: 10.48550/arxiv.1907.08274 · pith_short_12: RAIQBYE2C77Y · pith_short_16: RAIQBYE2C77YDJYT · pith_short_8: RAIQBYE2

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/RAIQBYE2C77YDJYTGVV6JKFCU6 \
  | 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: 881100e09a17ff81a713356be4a8a2a787f47a4b5171df685de10a264b36f133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6af6d43e4dcade789328168f7f2fc7f09d8d905161d40ca2c6dff49368aced4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-18T20:33:19Z",
    "title_canon_sha256": "bc049177dcaff57ef98a2c9091cf801120df3505d5696b1ca6bbae283686f5b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08274",
    "kind": "arxiv",
    "version": 1
  }
}