Pith Number

pith:3BUSCQ7C

pith:2026:3BUSCQ7CYKAMZV6DHZZ63Z2XKI

not attested not anchored not stored refs pending

Finding Stationary Points by Comparisons

Chenyi Zhang, Helin Wang, Tongyang Li, Xiwen Tao, Yexin Zhang

arxiv:2606.27082 v1 · 2026-06-25 · cs.LG · cs.DS · math.OC · 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{3BUSCQ7CYKAMZV6DHZZ63Z2XKI}

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	2026-06-26T01:16:08.963204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8692143e2c280ccd7c33e73ede757521e26b903cd4f0763696ed6ff91cb210b

Aliases

arxiv: 2606.27082 · arxiv_version: 2606.27082v1 · doi: 10.48550/arxiv.2606.27082 · pith_short_12: 3BUSCQ7CYKAM · pith_short_16: 3BUSCQ7CYKAMZV6D · pith_short_8: 3BUSCQ7C

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/3BUSCQ7CYKAMZV6DHZZ63Z2XKI \
  | 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: d8692143e2c280ccd7c33e73ede757521e26b903cd4f0763696ed6ff91cb210b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87ce80bfedb44e9f745b750fe49c65cf9e48871dc2b78abc7e859692804e92d4",
    "cross_cats_sorted": [
      "cs.DS",
      "math.OC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-25T14:20:03Z",
    "title_canon_sha256": "a6062d5e4e1e43f2a49fabea2be74e5cceba3c7f7f280825929ef9a7735bf4cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27082",
    "kind": "arxiv",
    "version": 1
  }
}