Pith Number

pith:ZC6FK6XB

pith:2014:ZC6FK6XBJOOKDEUZD7OOVYI4MF

not attested not anchored not stored refs pending

Remarks on Quantum Modular Exponentiation and Some Experimental Demonstrations of Shor's Algorithm

Lihua Liu, Zhenfu Cao, Zhengjun Cao

arxiv:1408.6252 v2 · 2014-08-24 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZC6FK6XBJOOKDEUZD7OOVYI4MF}

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	2026-05-18T02:40:53.740563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8bc557ae14b9ca192991fdceae11c617427145c50e335d205a065fe47657408

Aliases

arxiv: 1408.6252 · arxiv_version: 1408.6252v2 · doi: 10.48550/arxiv.1408.6252 · pith_short_12: ZC6FK6XBJOOK · pith_short_16: ZC6FK6XBJOOKDEUZ · pith_short_8: ZC6FK6XB

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/ZC6FK6XBJOOKDEUZD7OOVYI4MF \
  | 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: c8bc557ae14b9ca192991fdceae11c617427145c50e335d205a065fe47657408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b38a34a3f57112b50301bd5a399d7591bb78497d06777d37590720759c64e040",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-08-24T14:48:57Z",
    "title_canon_sha256": "b4fabb36879cf426a1fd098ca507cd9ce332a7e6d386b64e73c3a1cd9ddfe278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6252",
    "kind": "arxiv",
    "version": 2
  }
}