Pith Number

pith:LZL7LO6X

pith:2009:LZL7LO6XTOPYEZLZLC7PFVIZC4

not attested not anchored not stored refs pending

Average transmission probability of a random stack

Berthold-Georg Englert, Christian Miniatura, Yin Lu

arxiv:0907.5557 v1 · 2009-07-31 · 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{LZL7LO6XTOPYEZLZLC7PFVIZC4}

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	2026-05-18T02:12:45.662610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e57f5bbd79b9f82657958bef2d519172c2d0c50045368c9de123151f63d519b

Aliases

arxiv: 0907.5557 · arxiv_version: 0907.5557v1 · doi: 10.48550/arxiv.0907.5557 · pith_short_12: LZL7LO6XTOPY · pith_short_16: LZL7LO6XTOPYEZLZ · pith_short_8: LZL7LO6X

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/LZL7LO6XTOPYEZLZLC7PFVIZC4 \
  | 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: 5e57f5bbd79b9f82657958bef2d519172c2d0c50045368c9de123151f63d519b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f3d9b661ea5a65a79f5ab3e68150018dbc8e43647c502819ddedd0fbf806b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-07-31T15:49:01Z",
    "title_canon_sha256": "355dac70a06d24b586107596156f8133d95cb6f1bc882373abd864ce458f42f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5557",
    "kind": "arxiv",
    "version": 1
  }
}