Pith Number

pith:LRDHJNIC

pith:2026:LRDHJNICB54ZNW2P36NXLEMET5

not attested not anchored not stored refs pending

On the Universality of Simple Trust-Region Algorithms

Clemens Sirotenko

arxiv:2607.19647 v1 · 2026-07-22 · 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{LRDHJNICB54ZNW2P36NXLEMET5}

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	2026-07-23T00:24:01.692513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c4674b5020f7996db4fdf9b7591849f451d0d61ed9e3f9f982d7a62a5421a6b

Aliases

arxiv: 2607.19647 · arxiv_version: 2607.19647v1 · doi: 10.48550/arxiv.2607.19647 · pith_short_12: LRDHJNICB54Z · pith_short_16: LRDHJNICB54ZNW2P · pith_short_8: LRDHJNIC

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/LRDHJNICB54ZNW2P36NXLEMET5 \
  | 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: 5c4674b5020f7996db4fdf9b7591849f451d0d61ed9e3f9f982d7a62a5421a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3900640c955d831b9d2d220dcd2b541dcb62b44752254cec77254bf0abee92f1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-22T01:06:15Z",
    "title_canon_sha256": "a95528a0be053dff9ab5c9bee0dea54c5d3dc94277ee22668a0bad6d1f388fff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19647",
    "kind": "arxiv",
    "version": 1
  }
}