Pith Number

pith:GKEPLZ4O

pith:2025:GKEPLZ4OBFXJUG3PV33JD5DBJJ

not attested not anchored not stored refs pending

Certifying the dimensionality of any quantum channel with minimal assumptions

Bivas Mallick, Pratik Ghosal, Saheli Mukherjee

arxiv:2511.10758 v3 · 2025-11-13 · 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{GKEPLZ4OBFXJUG3PV33JD5DBJJ}

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

1 paper in Pith

Absolute Schmidt number: characterization, detection and resource-theoretic quantification

Receipt and verification

First computed	2026-07-22T00:22:14.488885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3288f5e78e096e9a1b6faef691f4614a54d70d1a464639c37c839e92abb0a070

Aliases

arxiv: 2511.10758 · arxiv_version: 2511.10758v3 · doi: 10.48550/arxiv.2511.10758 · pith_short_12: GKEPLZ4OBFXJ · pith_short_16: GKEPLZ4OBFXJUG3P · pith_short_8: GKEPLZ4O

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/GKEPLZ4OBFXJUG3PV33JD5DBJJ \
  | 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: 3288f5e78e096e9a1b6faef691f4614a54d70d1a464639c37c839e92abb0a070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40b7f8892102b4d767a5be27ec8198cabce15e201801aa798584948352cdf4d3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-11-13T19:22:48Z",
    "title_canon_sha256": "ab4fd55a9ff22d96d189f315a0be42953857ea659104b578de67e0da27a37ece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.10758",
    "kind": "arxiv",
    "version": 3
  }
}