Pith Number

pith:46SP755R

pith:2026:46SP755RTZ6TFHWZ7BRYRLNPY5

not attested not anchored not stored refs pending

Separation, Constraint Qualifications, and Cycling in Outer Approximation

Erik Tamm, Jan Kronqvist

arxiv:2606.26897 v1 · 2026-06-25 · 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{46SP755RTZ6TFHWZ7BRYRLNPY5}

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	2026-06-26T01:16:03.400744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a4fff7b19e7d329ed9f86388adafc75fa3f85838bd85371dcb833255c31aa3

Aliases

arxiv: 2606.26897 · arxiv_version: 2606.26897v1 · doi: 10.48550/arxiv.2606.26897 · pith_short_12: 46SP755RTZ6T · pith_short_16: 46SP755RTZ6TFHWZ · pith_short_8: 46SP755R

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/46SP755RTZ6TFHWZ7BRYRLNPY5 \
  | 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: e7a4fff7b19e7d329ed9f86388adafc75fa3f85838bd85371dcb833255c31aa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd8fcc1a593b3e9c4475639e9427c62ed5f0dfb5ef664e51e80175d1f06741f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-25T11:29:16Z",
    "title_canon_sha256": "32f1d1b1f4831f7fbb5b45749baafb77582be81d0015361a16ed8c0e264ae06c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26897",
    "kind": "arxiv",
    "version": 1
  }
}