Pith Number

pith:SPYMR262

pith:2003:SPYMR262TVSQMMAKM3SGIBEPTA

not attested not anchored not stored refs pending

On the power of Ambainis's lower bounds

Shengyu Zhang

arxiv:quant-ph/0311060 v2 · 2003-11-10 · 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{SPYMR262TVSQMMAKM3SGIBEPTA}

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

The Compressed Oracle is a Worthy (Multiplicative) Adversary

Receipt and verification

First computed	2026-07-04T14:46:27.098507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f0c8ebda9d6506300a66e464048f980979ea128865a6bebf41d27f9593967c

Aliases

arxiv: quant-ph/0311060 · arxiv_version: quant-ph/0311060v2 · doi: 10.48550/arxiv.quant-ph/0311060 · pith_short_12: SPYMR262TVSQ · pith_short_16: SPYMR262TVSQMMAK · pith_short_8: SPYMR262

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/SPYMR262TVSQMMAKM3SGIBEPTA \
  | 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: 93f0c8ebda9d6506300a66e464048f980979ea128865a6bebf41d27f9593967c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "344906ff8e9315c32de1575fa630ecd04f1afc91a8767b92aa2f880fab084d93",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-11-10T22:46:20Z",
    "title_canon_sha256": "37461a4863cb9271805f5877fddaee8bfb989ea4ac36fd42461b67800be5a0af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0311060",
    "kind": "arxiv",
    "version": 2
  }
}