Pith Number

pith:BBPHDJ7F

pith:2016:BBPHDJ7FFK3TYUSCC5HIOSTPD2

not attested not anchored not stored refs pending

Linear Programming Bounds for Entanglement-Assisted Quantum Error-Correcting Codes by Split Weight Enumerators

Alexei Ashikhmin, Ching-Yi Lai

arxiv:1602.00413 v3 · 2016-02-01 · cs.IT · math.IT · 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{BBPHDJ7FFK3TYUSCC5HIOSTPD2}

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	2026-05-18T00:26:08.922912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

085e71a7e52ab73c5242174e874a6f1e96268f21effa4c2512f5b9bd291b84d4

Aliases

arxiv: 1602.00413 · arxiv_version: 1602.00413v3 · doi: 10.48550/arxiv.1602.00413 · pith_short_12: BBPHDJ7FFK3T · pith_short_16: BBPHDJ7FFK3TYUSC · pith_short_8: BBPHDJ7F

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/BBPHDJ7FFK3TYUSCC5HIOSTPD2 \
  | 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: 085e71a7e52ab73c5242174e874a6f1e96268f21effa4c2512f5b9bd291b84d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "570ea7c1e50ae4014ba6ee8fe7e6fe432540f54dd34f3b73fdc842843c435a8b",
    "cross_cats_sorted": [
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-02-01T07:35:36Z",
    "title_canon_sha256": "6617d02913049e8ccb6004336f8b2b65f8d8889185cb94292cb65558a0cf4bef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00413",
    "kind": "arxiv",
    "version": 3
  }
}