Pith Number

pith:ZEC75GRO

pith:2025:ZEC75GROCQEKVI7GQMDTVLXWR5

not attested not anchored not stored refs pending

Pushing the Complexity Boundaries of Fixed-Point Equations: Adaptation to Contraction and Controlled Expansion

Jelena Diakonikolas

arxiv:2506.17698 v3 · 2025-06-21 · 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{ZEC75GROCQEKVI7GQMDTVLXWR5}

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	2026-07-13T00:17:01.574037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c905fe9a2e1408aaa3e683073aaef68f77c3c23a75ed491872acf45c16a8b17f

Aliases

arxiv: 2506.17698 · arxiv_version: 2506.17698v3 · doi: 10.48550/arxiv.2506.17698 · pith_short_12: ZEC75GROCQEK · pith_short_16: ZEC75GROCQEKVI7G · pith_short_8: ZEC75GRO

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/ZEC75GROCQEKVI7GQMDTVLXWR5 \
  | 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: c905fe9a2e1408aaa3e683073aaef68f77c3c23a75ed491872acf45c16a8b17f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bac134d04355debbe830585d2f8c9f32d101f4d039352575ef2e245712171fb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-21T12:09:06Z",
    "title_canon_sha256": "d3a6105364811e6e3f3905f69932176fc58e32ce8b88a6acfe9969dbde70a7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17698",
    "kind": "arxiv",
    "version": 3
  }
}