Pith Number

pith:YF53EARU

pith:2016:YF53EARURVEG2YR2BVTLD7ZJLG

not attested not anchored not stored refs pending

Kadison's Pythagorean Theorem and essential codimension

Jireh Loreaux, Victor Kaftal

arxiv:1609.06754 v1 · 2016-09-21 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YF53EARURVEG2YR2BVTLD7ZJLG}

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	2026-05-18T00:24:10.463812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c17bb202348d486d623a0d66b1ff2959873973425927a7e4fb9a2767e69c397c

Aliases

arxiv: 1609.06754 · arxiv_version: 1609.06754v1 · doi: 10.48550/arxiv.1609.06754 · pith_short_12: YF53EARURVEG · pith_short_16: YF53EARURVEG2YR2 · pith_short_8: YF53EARU

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/YF53EARURVEG2YR2BVTLD7ZJLG \
  | 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: c17bb202348d486d623a0d66b1ff2959873973425927a7e4fb9a2767e69c397c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "015384f03df089447a21cba01a4f01538d4e01ec20d9bcf09d40db580bed7583",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-09-21T21:04:53Z",
    "title_canon_sha256": "8fda4b919761c43e8661f72232dc00db746f2af6df29f5cf914dc1195fa1d472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06754",
    "kind": "arxiv",
    "version": 1
  }
}