Pith Number

pith:33T5Q53E

pith:2011:33T5Q53EXM3BGFO47REBEUZXC7

not attested not anchored not stored refs pending

Quaternionic Quantum Dynamics on Complex Hilbert Spaces

Matthew A. Graydon

arxiv:1103.3547 v1 · 2011-03-18 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33T5Q53EXM3BGFO47REBEUZXC7}

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	2026-05-18T01:36:16.050883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee7d87764bb361315dcfc4812533717deddd448cdd7a216404e750808c800c1

Aliases

arxiv: 1103.3547 · arxiv_version: 1103.3547v1 · doi: 10.48550/arxiv.1103.3547 · pith_short_12: 33T5Q53EXM3B · pith_short_16: 33T5Q53EXM3BGFO4 · pith_short_8: 33T5Q53E

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/33T5Q53EXM3BGFO47REBEUZXC7 \
  | 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: dee7d87764bb361315dcfc4812533717deddd448cdd7a216404e750808c800c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e49182e38a934791bcbb2de538dd94972331553931231a1be4f325c38f9f79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-18T02:49:04Z",
    "title_canon_sha256": "8ce843df1de7f8679f9fbb81e3cc4e2b4ccb01028b7b5fb99999b7a892df94e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3547",
    "kind": "arxiv",
    "version": 1
  }
}