Pith Number

pith:HP3AGC4G

pith:2026:HP3AGC4GTUVSXH2KDLJMTDVXLL

not attested not anchored not stored refs pending

Diverse efficiency of observable optimization for four-level quantum systems with higher-order traps

Alexander Pechen, Boris Volkov

arxiv:2607.01217 v1 · 2026-07-01 · 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{HP3AGC4GTUVSXH2KDLJMTDVXLL}

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	2026-07-02T01:18:33.008435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf6030b869d2b2b9f4a1ad2c98eb75af187958a773b5e094135ff08766cc653

Aliases

arxiv: 2607.01217 · arxiv_version: 2607.01217v1 · doi: 10.48550/arxiv.2607.01217 · pith_short_12: HP3AGC4GTUVS · pith_short_16: HP3AGC4GTUVSXH2K · pith_short_8: HP3AGC4G

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/HP3AGC4GTUVSXH2KDLJMTDVXLL \
  | 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: 3bf6030b869d2b2b9f4a1ad2c98eb75af187958a773b5e094135ff08766cc653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eef5aa59ffb7dee00d5b67ed55464bc10107f42ed0bdacd27f9731ba59f64aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-01T17:54:33Z",
    "title_canon_sha256": "af9436b68c52038cb7d7a0868f7a534eac47b1e8eb3160f86db0636fed460d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01217",
    "kind": "arxiv",
    "version": 1
  }
}