Pith Number

pith:ZTWE25EK

pith:2010:ZTWE25EKM3QV4SGA5AMSZEONA3

not attested not anchored not stored refs pending

Probing the qudit depolarizing channel

David Collins, Karl Gerlach, Michael Frey

arxiv:1008.1557 v1 · 2010-08-09 · 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{ZTWE25EKM3QV4SGA5AMSZEONA3}

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	2026-05-18T03:46:47.873824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccec4d748a66e15e48c0e8192c91cd06facb65d63df32ca53ff1b9e02db30a8f

Aliases

arxiv: 1008.1557 · arxiv_version: 1008.1557v1 · doi: 10.48550/arxiv.1008.1557 · pith_short_12: ZTWE25EKM3QV · pith_short_16: ZTWE25EKM3QV4SGA · pith_short_8: ZTWE25EK

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/ZTWE25EKM3QV4SGA5AMSZEONA3 \
  | 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: ccec4d748a66e15e48c0e8192c91cd06facb65d63df32ca53ff1b9e02db30a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc6de5e53b0920a1cc733808d5de8fbad81e4eb8566d78b9be1aab71de9d78a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-08-09T17:51:30Z",
    "title_canon_sha256": "7c4f86efa8e9ee99a590a4d36ff3d216dafc3cf0457394cebd3d309c4a87d0fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1557",
    "kind": "arxiv",
    "version": 1
  }
}