Pith Number

pith:JW3T2S6E

pith:2016:JW3T2S6E2WDX3FYNXFGGX5YT7F

not attested not anchored not stored refs pending

Dark Modes of Quantum Linear Systems

Daoyi Dong, Ian R. Petersen, Yu Pan

arxiv:1611.04643 v1 · 2016-11-14 · 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{JW3T2S6E2WDX3FYNXFGGX5YT7F}

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	2026-05-18T00:48:32.548390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db73d4bc4d5877d970db94c6bf713f9777177d50bc2420c049e9adc768f14f1

Aliases

arxiv: 1611.04643 · arxiv_version: 1611.04643v1 · doi: 10.48550/arxiv.1611.04643 · pith_short_12: JW3T2S6E2WDX · pith_short_16: JW3T2S6E2WDX3FYN · pith_short_8: JW3T2S6E

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/JW3T2S6E2WDX3FYNXFGGX5YT7F \
  | 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: 4db73d4bc4d5877d970db94c6bf713f9777177d50bc2420c049e9adc768f14f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "838c660553fa199e38e1f59fef8ba28d0d122418d4a8be3b2fddf2b21565e83b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-11-14T22:58:39Z",
    "title_canon_sha256": "99163af78ff212a8da5b585bc7443a681f276fb9c4d63e7cc3e14f51ed8bad12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04643",
    "kind": "arxiv",
    "version": 1
  }
}