Pith Number

pith:FC2KIKGC

pith:2015:FC2KIKGCDWU5OTS4F66TUG22SB

not attested not anchored not stored refs pending

A geometric approach to quantum control in projective Hilbert spaces

Davide Pastorello

arxiv:1508.07209 v3 · 2015-08-28 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FC2KIKGCDWU5OTS4F66TUG22SB}

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	2026-05-18T00:39:40.769996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b4a428c21da9d74e5c2fbd3a1b5a90766165631e6999df9840766487f38ce7

Aliases

arxiv: 1508.07209 · arxiv_version: 1508.07209v3 · doi: 10.48550/arxiv.1508.07209 · pith_short_12: FC2KIKGCDWU5 · pith_short_16: FC2KIKGCDWU5OTS4 · pith_short_8: FC2KIKGC

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/FC2KIKGCDWU5OTS4F66TUG22SB \
  | 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: 28b4a428c21da9d74e5c2fbd3a1b5a90766165631e6999df9840766487f38ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec3fd15bd3d7377811f9e06a20279fbc8cd57aefc816bf30b7e54e6b22446c9e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-28T13:50:27Z",
    "title_canon_sha256": "6396a8aa167183af2aea8722b55d3ecea7cc1903380174bbdbf5da4a5ba00fed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07209",
    "kind": "arxiv",
    "version": 3
  }
}