Pith Number

pith:NICHBE5T

pith:2025:NICHBE5TCFVWHTSM64PHL3B3CL

not attested not anchored not stored refs pending

The Adaptive Complexity of Finding a Stationary Point

Akiko Takeda, Andi Han, Huanjian Zhou, Masashi Sugiyama

arxiv:2505.09045 v1 · 2025-05-14 · math.OC · cs.CC · cs.DC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NICHBE5TCFVWHTSM64PHL3B3CL}

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	2026-07-05T11:02:49.435405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a047093b3116b63ce4cf71e75ec3b12c8005d843195af1d8a2f5521012d2149

Aliases

arxiv: 2505.09045 · arxiv_version: 2505.09045v1 · doi: 10.48550/arxiv.2505.09045 · pith_short_12: NICHBE5TCFVW · pith_short_16: NICHBE5TCFVWHTSM · pith_short_8: NICHBE5T

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/NICHBE5TCFVWHTSM64PHL3B3CL \
  | 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: 6a047093b3116b63ce4cf71e75ec3b12c8005d843195af1d8a2f5521012d2149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bfb477faf33ce4e6d7a9310efd7cb0bb259ce5249ef451f512d9a75046564d1",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-14T00:54:49Z",
    "title_canon_sha256": "9fa913f4df008eadefb71327cbfd86396aa21357bee0ceb85194ae12f2fadf9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09045",
    "kind": "arxiv",
    "version": 1
  }
}