Pith Number

pith:TOIYGKEU

pith:2010:TOIYGKEU7GD64VFQLRJ5CR5N7X

not attested not anchored not stored refs pending

Quantum Phase Estimation with Arbitrary Constant-precision Phase Shift Operators

Chen-Fu Chiang, Hamed Ahmadi

arxiv:1012.4727 v4 · 2010-12-21 · 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{TOIYGKEU7GD64VFQLRJ5CR5N7X}

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	2026-05-18T03:21:21.786070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b91832894f987ee54b05c53d147adfdebfd78539b829e2c76dd56e581d3e692

Aliases

arxiv: 1012.4727 · arxiv_version: 1012.4727v4 · doi: 10.48550/arxiv.1012.4727 · pith_short_12: TOIYGKEU7GD6 · pith_short_16: TOIYGKEU7GD64VFQ · pith_short_8: TOIYGKEU

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/TOIYGKEU7GD64VFQLRJ5CR5N7X \
  | 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: 9b91832894f987ee54b05c53d147adfdebfd78539b829e2c76dd56e581d3e692

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f240b4e90aa48cb81564d070a0326330c94422c053522797066858200da2696",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-21T16:52:07Z",
    "title_canon_sha256": "9ac627b0ebbb5fab59566c97b382f38503d4771cb5f35b95f771b3c0be6e5d4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4727",
    "kind": "arxiv",
    "version": 4
  }
}