Pith Number

pith:63BOAHKC

pith:2004:63BOAHKCLR3K27VHUOXAIKROME

not attested not anchored not stored refs pending

Relative position of four subspaces in a Hilbert space

Masatoshi Enomoto, Yasuo Watatani

arxiv:math/0404545 v2 · 2004-04-30 · math.OA · 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{63BOAHKCLR3K27VHUOXAIKROME}

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	2026-07-04T14:38:34.513759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c2e01d425c76ad7ea7a3ae042a2e610053e399ef151a83fef33784cc9e5caa

Aliases

arxiv: math/0404545 · arxiv_version: math/0404545v2 · doi: 10.48550/arxiv.math/0404545 · pith_short_12: 63BOAHKCLR3K · pith_short_16: 63BOAHKCLR3K27VH · pith_short_8: 63BOAHKC

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/63BOAHKCLR3K27VHUOXAIKROME \
  | 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: f6c2e01d425c76ad7ea7a3ae042a2e610053e399ef151a83fef33784cc9e5caa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a87273f27ab15a16e783fd176db8339dbfe2b359f4c12b815e84494c96f3b9d5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-04-30T05:44:26Z",
    "title_canon_sha256": "c21673fbcbed80c4fe8fa807bccdc5b8d2b3c6e80548f26f44e3b05cc486e7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404545",
    "kind": "arxiv",
    "version": 2
  }
}