Pith Number

pith:BTHRXNOT

pith:2009:BTHRXNOT5ISU4Q54RBZU4NEGMV

not attested not anchored not stored refs pending

On the power of a unique quantum witness

Greg Kuperberg, Iordanis Kerenidis, Miklos Santha, Or Sattath, Rahul Jain, Shengyu Zhang

arxiv:0906.4425 v2 · 2009-06-24 · 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{BTHRXNOT5ISU4Q54RBZU4NEGMV}

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	2026-05-18T04:31:22.711332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ccf1bb5d3ea254e43bc88734e348665487d056998b2ea7751afd9881b037c62

Aliases

arxiv: 0906.4425 · arxiv_version: 0906.4425v2 · doi: 10.48550/arxiv.0906.4425 · pith_short_12: BTHRXNOT5ISU · pith_short_16: BTHRXNOT5ISU4Q54 · pith_short_8: BTHRXNOT

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/BTHRXNOT5ISU4Q54RBZU4NEGMV \
  | 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: 0ccf1bb5d3ea254e43bc88734e348665487d056998b2ea7751afd9881b037c62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc3c3c0ba06aa5b4b27fa8e5982f0bee7811a293fa6c2c7a1cd8761dd1db7972",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-06-24T08:27:18Z",
    "title_canon_sha256": "02035cf6bfc1cb9d462468d1f62a9f43cda41914ffbffd6e271ad6143ca6fa2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4425",
    "kind": "arxiv",
    "version": 2
  }
}