Pith Number

pith:YAA4JB3S

pith:2011:YAA4JB3SWZTOB4TEZI3R6QVT3C

not attested not anchored not stored refs pending

Ziv-Zakai Error Bounds for Quantum Parameter Estimation

Mankei Tsang

arxiv:1111.3568 v4 · 2011-11-15 · 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{YAA4JB3SWZTOB4TEZI3R6QVT3C}

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	2026-05-18T03:54:15.015847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c001c48772b666e0f264ca371f42b3d88881064dedfb9291160c52627718b508

Aliases

arxiv: 1111.3568 · arxiv_version: 1111.3568v4 · doi: 10.48550/arxiv.1111.3568 · pith_short_12: YAA4JB3SWZTO · pith_short_16: YAA4JB3SWZTOB4TE · pith_short_8: YAA4JB3S

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/YAA4JB3SWZTOB4TEZI3R6QVT3C \
  | 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: c001c48772b666e0f264ca371f42b3d88881064dedfb9291160c52627718b508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8bc5ebee7f46a9979f9564d2efde8306461a7a6c365fa02d0131c07b383131a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-15T16:20:46Z",
    "title_canon_sha256": "9129c59bdd4dbe2c0e980b66dd0350ec4cef81769e4a72d49a8f63efb67a7757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3568",
    "kind": "arxiv",
    "version": 4
  }
}