Pith Number

pith:VIRYVP5M

pith:2025:VIRYVP5MJDN4VKMTZ7G2TVURAF

not attested not anchored not stored refs pending

Dual Hierarchical Least-Squares Programming with Equality Constraints

Kai Pfeiffer

arxiv:2505.21071 v2 · 2025-05-27 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIRYVP5MJDN4VKMTZ7G2TVURAF}

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	2026-07-05T11:20:54.505512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa238abfac48dbcaa993cfcda9d6910170b63acec7558c157b7c290df8c4e827

Aliases

arxiv: 2505.21071 · arxiv_version: 2505.21071v2 · doi: 10.48550/arxiv.2505.21071 · pith_short_12: VIRYVP5MJDN4 · pith_short_16: VIRYVP5MJDN4VKMT · pith_short_8: VIRYVP5M

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/VIRYVP5MJDN4VKMTZ7G2TVURAF \
  | 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: aa238abfac48dbcaa993cfcda9d6910170b63acec7558c157b7c290df8c4e827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01a6655b7b7b765b2f68cf97aacfb6b5e48e9e33a761397abef0c1f56d4e5a4c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-27T11:56:38Z",
    "title_canon_sha256": "911b5ae285680e75e62bfd50dc25463cc60ff2819059f4b7571920d96053850d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21071",
    "kind": "arxiv",
    "version": 2
  }
}