Pith Number

pith:QS45DVCL

pith:2025:QS45DVCL3UMT6WEN5T5PCSWXOL

not attested not anchored not stored refs pending

Numerical analysis of the convex relaxation of the barrier parameter functional of self-concordant barriers

Roland Hildebrand, Vitali Pirau

arxiv:2507.01812 v2 · 2025-07-02 · 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{QS45DVCL3UMT6WEN5T5PCSWXOL}

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	2026-07-05T11:32:33.497522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b9d1d44bdd193f588decfaf14ad772d55334cc4787c7ad582668e71ddaf261

Aliases

arxiv: 2507.01812 · arxiv_version: 2507.01812v2 · doi: 10.48550/arxiv.2507.01812 · pith_short_12: QS45DVCL3UMT · pith_short_16: QS45DVCL3UMT6WEN · pith_short_8: QS45DVCL

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/QS45DVCL3UMT6WEN5T5PCSWXOL \
  | 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: 84b9d1d44bdd193f588decfaf14ad772d55334cc4787c7ad582668e71ddaf261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31de08874e98dd14058f65bbce59aa8057eeb75613a250283a74f4a44cd6080d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-02T15:30:11Z",
    "title_canon_sha256": "ab981594774ff348a1712a5359d7ee90ff2610fbb6ec8039b48abdd7cda76434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01812",
    "kind": "arxiv",
    "version": 2
  }
}