Pith Number

pith:B33TSVYM

pith:2026:B33TSVYMGYAMVDX73U4GVKHLKE

not attested not anchored not stored refs pending

New operator designs for Halpern iterations with explicit rates under H\"older error bounds

Luiz-Rafael Santos, Pablo Barros, Roger Behling, Vincent Guigues

arxiv:2601.14451 v2 · 2026-01-20 · 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{B33TSVYMGYAMVDX73U4GVKHLKE}

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	2026-05-29T01:04:36.504068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef739570c3600ca8effdd386aa8eb5124fd6b2dfb40d583ea080dd513759390

Aliases

arxiv: 2601.14451 · arxiv_version: 2601.14451v2 · doi: 10.48550/arxiv.2601.14451 · pith_short_12: B33TSVYMGYAM · pith_short_16: B33TSVYMGYAMVDX7 · pith_short_8: B33TSVYM

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/B33TSVYMGYAMVDX73U4GVKHLKE \
  | 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: 0ef739570c3600ca8effdd386aa8eb5124fd6b2dfb40d583ea080dd513759390

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87e44158d62bc3e01c4ece5caf91bf4b8889fe9817abcb39919a2b89d19d954e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-01-20T20:19:52Z",
    "title_canon_sha256": "a02f982fb4df5ebf7401aca1e7070c0cc3321824a3e72cd4312acc4a0916603d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.14451",
    "kind": "arxiv",
    "version": 2
  }
}