Pith Number

pith:HXQDA2QN

pith:2021:HXQDA2QNU7KT2RYUTQRUW3ZJNL

not attested not anchored not stored refs pending

Convergence of sequences: a survey

Barbara Franci, Sergio Grammatico

arxiv:2111.11374 v1 · 2021-11-22 · math.OC · cs.MA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXQDA2QNU7KT2RYUTQRUW3ZJNL}

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.

Cited by

1 paper in Pith

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters

Receipt and verification

First computed	2026-07-05T03:34:03.051331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de0306a0da7d53d47149c234b6f296ac7330c9c38c656a033875585ce4a7069

Aliases

arxiv: 2111.11374 · arxiv_version: 2111.11374v1 · doi: 10.48550/arxiv.2111.11374 · pith_short_12: HXQDA2QNU7KT · pith_short_16: HXQDA2QNU7KT2RYU · pith_short_8: HXQDA2QN

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/HXQDA2QNU7KT2RYUTQRUW3ZJNL \
  | 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: 3de0306a0da7d53d47149c234b6f296ac7330c9c38c656a033875585ce4a7069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6464edb9f69274a30e9b07e1bbca3a85c8749b3f656ce44a28d07c8bb9b32a6",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-11-22T17:31:49Z",
    "title_canon_sha256": "bfb483eeca30802b3ace2374d7afcaba6a4bd5dc174bfda9d1e61cc4ed28fe24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.11374",
    "kind": "arxiv",
    "version": 1
  }
}