Pith Number

pith:FWORLPE5

pith:2022:FWORLPE5IXAFWWDWUKZ5K5V3VD

not attested not anchored not stored refs pending

A hierarchy of efficient bounds on quantum capacities exploiting symmetry

Ala Shayeghi, Hoang Ta, Omar Fawzi

arxiv:2203.02127 v1 · 2022-03-04 · 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{FWORLPE5IXAFWWDWUKZ5K5V3VD}

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	2026-07-05T06:44:04.189525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d9d15bc9d45c05b5876a2b3d576bba8cac2a8e142297758ad6efef55ba24b32

Aliases

arxiv: 2203.02127 · arxiv_version: 2203.02127v1 · doi: 10.48550/arxiv.2203.02127 · pith_short_12: FWORLPE5IXAF · pith_short_16: FWORLPE5IXAFWWDW · pith_short_8: FWORLPE5

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/FWORLPE5IXAFWWDWUKZ5K5V3VD \
  | 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: 2d9d15bc9d45c05b5876a2b3d576bba8cac2a8e142297758ad6efef55ba24b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8f26f7a62907a8237a2c8cf5517a7b7ca4121fb18b543992de13d3ac7738ab4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-03-04T04:34:15Z",
    "title_canon_sha256": "bf67d839bd046d8ab27f4237582dd65f3f230bed8c6c709793ed12a40ba7093e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.02127",
    "kind": "arxiv",
    "version": 1
  }
}