Pith Number

pith:N44CLGOK

pith:2000:N44CLGOKVFN6PNDIZK6DWMBH6W

not attested not anchored not stored refs pending

Quantum lower bounds by quantum arguments

Andris Ambainis

arxiv:quant-ph/0002066 v1 · 2000-02-24 · quant-ph · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N44CLGOKVFN6PNDIZK6DWMBH6W}

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

2 papers in Pith

Pseudorandom Dynamics in the SYK Model and Cryptographic Censorship in JT Gravity

Tight Quantum Lower Bound for k-Distinctness

Receipt and verification

First computed	2026-07-04T14:45:26.765470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f382599caa95be7b468cabc3b3027f5ade0e45b6cc0e155eab60fb584987776

Aliases

arxiv: quant-ph/0002066 · arxiv_version: quant-ph/0002066v1 · doi: 10.48550/arxiv.quant-ph/0002066 · pith_short_12: N44CLGOKVFN6 · pith_short_16: N44CLGOKVFN6PNDI · pith_short_8: N44CLGOK

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/N44CLGOKVFN6PNDIZK6DWMBH6W \
  | 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: 6f382599caa95be7b468cabc3b3027f5ade0e45b6cc0e155eab60fb584987776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e672db60ed44a0b1f11ce7b1098b818837052196298013c14483852b675d389f",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-02-24T04:46:18Z",
    "title_canon_sha256": "f97a02ef4ed045e188fef3a0025dacc38c77d09a584a5b80d6cdc2e152096661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0002066",
    "kind": "arxiv",
    "version": 1
  }
}