Pith. sign in
Pith Number

pith:UG2BZ4B2

pith:2024:UG2BZ4B2QFCOI25VAPNKYTZGHN
not attested not anchored not stored refs pending

Optimal high-precision shadow estimation

Allen Liu, Jerry Li, Sitan Chen

arxiv:2407.13874 v1 · 2024-07-18 · quant-ph · cs.DS · cs.IT · cs.LG · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UG2BZ4B2QFCOI25VAPNKYTZGHN}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T08:45:54.450683Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a1b41cf03a8144e46bb503daac4f263b786bfc6a887e871b416323271da54a46

Aliases

arxiv: 2407.13874 · arxiv_version: 2407.13874v1 · doi: 10.48550/arxiv.2407.13874 · pith_short_12: UG2BZ4B2QFCO · pith_short_16: UG2BZ4B2QFCOI25V · pith_short_8: UG2BZ4B2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UG2BZ4B2QFCOI25VAPNKYTZGHN \
  | 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: a1b41cf03a8144e46bb503daac4f263b786bfc6a887e871b416323271da54a46
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7842e2b9fb734344d41f3129f7bc37a47feb8f94e832063c0957c108cf6d98ec",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.IT",
      "cs.LG",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-07-18T19:42:49Z",
    "title_canon_sha256": "6c94445ef1eb21c765f38abcd3a70fd86f494365f9c14ff96d13ae8bd09cf68f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.13874",
    "kind": "arxiv",
    "version": 1
  }
}