Pith Number

pith:PYWYTGZ4

pith:2009:PYWYTGZ4VHMHOOIGQTBM5IOZ57

not attested not anchored not stored refs pending

Self-adjoint Lyapunov variables, temporal ordering and irreversible representations of Schroedinger evolution

Y. Strauss

arxiv:0909.4434 v1 · 2009-09-24 · 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{PYWYTGZ4VHMHOOIGQTBM5IOZ57}

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	2026-05-18T02:11:38.061233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e2d899b3ca9d877390684c2cea1d9efff0d491980d4b16901fd3afb1a2feac0

Aliases

arxiv: 0909.4434 · arxiv_version: 0909.4434v1 · doi: 10.48550/arxiv.0909.4434 · pith_short_12: PYWYTGZ4VHMH · pith_short_16: PYWYTGZ4VHMHOOIG · pith_short_8: PYWYTGZ4

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/PYWYTGZ4VHMHOOIGQTBM5IOZ57 \
  | 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: 7e2d899b3ca9d877390684c2cea1d9efff0d491980d4b16901fd3afb1a2feac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "275f4903c0fa5569051262465fcc644a0dff10e10d2f691449964c38833db765",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-09-24T13:08:50Z",
    "title_canon_sha256": "dfe4fe4f608eaf304176364d02e86e50549cdff449813e30a2779223107243e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4434",
    "kind": "arxiv",
    "version": 1
  }
}