Pith Number

pith:7SIRTX5V

pith:2002:7SIRTX5VZ4SYTZWMXI352F6JPX

not attested not anchored not stored refs pending

Notes on Operator Categories

Shigeru Yamagami

arxiv:math/0212136 v1 · 2002-12-10 · math.OA · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SIRTX5VZ4SYTZWMXI352F6JPX}

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.

Cited by

1 paper in Pith

The many faces of higher Hilbert spaces

Receipt and verification

First computed	2026-07-04T14:36:49.041994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc9119dfb5cf2589e6ccba37dd17c97dc115b317f9f04e08dc52ce32f26715d1

Aliases

arxiv: math/0212136 · arxiv_version: math/0212136v1 · doi: 10.48550/arxiv.math/0212136 · pith_short_12: 7SIRTX5VZ4SY · pith_short_16: 7SIRTX5VZ4SYTZWM · pith_short_8: 7SIRTX5V

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/7SIRTX5VZ4SYTZWMXI352F6JPX \
  | 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: fc9119dfb5cf2589e6ccba37dd17c97dc115b317f9f04e08dc52ce32f26715d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ab6db9cc43c1a94909dd9ac427c0d81697bc371de3893cf5bca57b2c105e9bf",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2002-12-10T06:16:13Z",
    "title_canon_sha256": "85b2ffe2587333f7a0d1faabb9db73814b1d49756415f6f042c7092c5be80cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212136",
    "kind": "arxiv",
    "version": 1
  }
}