Pith Number

pith:RBRJDXPN

pith:2025:RBRJDXPNLO3A4SHKCLXKLZXLIW

not attested not anchored not stored refs pending

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form

Kamil A. Khan, Yulan Zhang

arxiv:2501.18503 v1 · 2025-01-30 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RBRJDXPNLO3A4SHKCLXKLZXLIW}

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	2026-07-05T10:07:34.842010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

886291dded5bb60e48ea12eea5e6eb45845f87666c7af8e4e5970ff04beb867b

Aliases

arxiv: 2501.18503 · arxiv_version: 2501.18503v1 · doi: 10.48550/arxiv.2501.18503 · pith_short_12: RBRJDXPNLO3A · pith_short_16: RBRJDXPNLO3A4SHK · pith_short_8: RBRJDXPN

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/RBRJDXPNLO3A4SHKCLXKLZXLIW \
  | 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: 886291dded5bb60e48ea12eea5e6eb45845f87666c7af8e4e5970ff04beb867b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b647eda4f656c6eca4b5f7ce613bad77230f0edd5720969a80d45689d862325",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-01-30T17:13:07Z",
    "title_canon_sha256": "8b68a08d2ddfd909cd2f2194d61e4d4ad07db212bb8455ac66033cbac4cf31a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18503",
    "kind": "arxiv",
    "version": 1
  }
}