Pith Number

pith:5ENFQM7V

pith:2026:5ENFQM7VNXKIJF3VEMGNTSKABY

not attested not anchored not stored refs pending

Convergence rate of the Halpern iterations with possibly distinct anchor and initial guess

Jianing He, Qiao-Li Dong

arxiv:2606.05630 v1 · 2026-06-04 · 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{5ENFQM7VNXKIJF3VEMGNTSKABY}

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	2026-06-05T01:14:57.145670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e91a5833f56dd4849775230cd9c9400e099b81cf5b65703973a5009e697f7cd7

Aliases

arxiv: 2606.05630 · arxiv_version: 2606.05630v1 · doi: 10.48550/arxiv.2606.05630 · pith_short_12: 5ENFQM7VNXKI · pith_short_16: 5ENFQM7VNXKIJF3V · pith_short_8: 5ENFQM7V

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/5ENFQM7VNXKIJF3VEMGNTSKABY \
  | 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: e91a5833f56dd4849775230cd9c9400e099b81cf5b65703973a5009e697f7cd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e6afde4566635ba941be6191a78a43be7510a22f7d6ac909e7292a736618642",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-04T02:58:08Z",
    "title_canon_sha256": "dae80b1b0c4bf35b664958e359d11025efffcf6933f6c43e28fd3183f9de1d76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05630",
    "kind": "arxiv",
    "version": 1
  }
}