Pith Number

pith:CARF5ULC

pith:2003:CARF5ULCWZIYZJ344ANEKMRSGQ

not attested not anchored not stored refs pending

The Curvature Invariant of a Non-commuting $N$-tuple

David W. Kribs

arxiv:math/0309383 v1 · 2003-09-23 · 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{CARF5ULCWZIYZJ344ANEKMRSGQ}

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	2026-07-04T14:37:44.653528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10225ed162b6518ca77ce01a453232342f7380a2eda7485f6800998b2c28478b

Aliases

arxiv: math/0309383 · arxiv_version: math/0309383v1 · doi: 10.48550/arxiv.math/0309383 · pith_short_12: CARF5ULCWZIY · pith_short_16: CARF5ULCWZIYZJ34 · pith_short_8: CARF5ULC

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/CARF5ULCWZIYZJ344ANEKMRSGQ \
  | 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: 10225ed162b6518ca77ce01a453232342f7380a2eda7485f6800998b2c28478b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dfb7642f1438ae5084badd01901fa4477595b85e5eee3cc5c13e09e5f75151c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2003-09-23T13:46:27Z",
    "title_canon_sha256": "b6718267cdbadc69009d6266c9b8bb0a33486ea9cf4d403ceddd4a7e944e31c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309383",
    "kind": "arxiv",
    "version": 1
  }
}