Pith Number

pith:GCELVATE

pith:2026:GCELVATEF3VEM54LQRXIHOGSSH

not attested not anchored not stored refs pending

The Quantum Hamming Bound in Arbitrary Local Dimension

Jing-Ling Chen, Yu-Xuan Zhang

arxiv:2606.22538 v1 · 2026-06-21 · 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{GCELVATEF3VEM54LQRXIHOGSSH}

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	2026-06-23T02:13:41.046935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3088ba82642eea46778b846e83b8d291fd54fdab494ce9ccd4850b7532920a28

Aliases

arxiv: 2606.22538 · arxiv_version: 2606.22538v1 · doi: 10.48550/arxiv.2606.22538 · pith_short_12: GCELVATEF3VE · pith_short_16: GCELVATEF3VEM54L · pith_short_8: GCELVATE

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/GCELVATEF3VEM54LQRXIHOGSSH \
  | 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: 3088ba82642eea46778b846e83b8d291fd54fdab494ce9ccd4850b7532920a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ab6c1bafd9812f12089a54b49e73b1d172947ba6e6d4542c81d8f0af10c0f59",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-21T14:53:17Z",
    "title_canon_sha256": "eef12a0b2adcf556c03953d69792e29649d3e233836141c9146bb60a10dd9d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22538",
    "kind": "arxiv",
    "version": 1
  }
}