Pith Number

pith:TWUQQYMN

pith:1999:TWUQQYMNY5XYPLBAXXYZI36WIX

not attested not anchored not stored refs pending

Invariant Quantum Algorithms for Insertion into an Ordered List

Edward Farhi, Jeffrey Goldstone, Michael Sipser, Sam Gutmann

arxiv:quant-ph/9901059 v1 · 1999-01-19 · 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{TWUQQYMNY5XYPLBAXXYZI36WIX}

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

The QAOA on the ring of disagrees

Lower overhead fault-tolerant building blocks for noisy quantum computers

Receipt and verification

First computed	2026-07-04T14:47:23.614766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9da908618dc76f87ac20bdf1946fd645d0e711fd4b7adc2d6ce3240ae585e8ca

Aliases

arxiv: quant-ph/9901059 · arxiv_version: quant-ph/9901059v1 · doi: 10.48550/arxiv.quant-ph/9901059 · pith_short_12: TWUQQYMNY5XY · pith_short_16: TWUQQYMNY5XYPLBA · pith_short_8: TWUQQYMN

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/TWUQQYMNY5XYPLBAXXYZI36WIX \
  | 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: 9da908618dc76f87ac20bdf1946fd645d0e711fd4b7adc2d6ce3240ae585e8ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b40cc626247e143bac1b55bde3815e86017b81937ca6987fb9c8b54f80b65d62",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-01-19T21:15:22Z",
    "title_canon_sha256": "16604b78fa0ac132b1006d5587158956b342c8396d020d7637a8a330e24681be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9901059",
    "kind": "arxiv",
    "version": 1
  }
}