pith. sign in
Pith Number

pith:TBQNNXDS

pith:2026:TBQNNXDS3KNHKW2I3YJG7GOI2Y
not attested not anchored not stored refs pending

Variational free complement method with Gaussian-expanded complement functions: convergence with fixed Gaussian expansion length

Cong Wang

arxiv:2606.01535 v1 · 2026-06-01 · physics.chem-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TBQNNXDS3KNHKW2I3YJG7GOI2Y}

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 2026-06-02T02:04:35.785299Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9860d6dc72da9a755b48de126f99c8d62493a22490465c989fd5c329738c0a53

Aliases

arxiv: 2606.01535 · arxiv_version: 2606.01535v1 · doi: 10.48550/arxiv.2606.01535 · pith_short_12: TBQNNXDS3KNH · pith_short_16: TBQNNXDS3KNHKW2I · pith_short_8: TBQNNXDS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TBQNNXDS3KNHKW2I3YJG7GOI2Y \
  | 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: 9860d6dc72da9a755b48de126f99c8d62493a22490465c989fd5c329738c0a53
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "26fc7828b98aff3c3c3e05f32a3300c6436a419f6d986436249139f166ad47f3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2026-06-01T01:33:35Z",
    "title_canon_sha256": "cad527a5af5d3fbc946aa8de9fe7689b8f3d21de9807c737424ba770660b1e47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01535",
    "kind": "arxiv",
    "version": 1
  }
}