Pith Number

pith:4IKUSP3S

pith:2024:4IKUSP3STVOVQPZLZCPC263BY7

not attested not anchored not stored refs pending

Slow and fast dynamics in measure functional differential equations with state-dependent delays through averaging principles and applications to extremum seeking

Henrique C. dos Reis, Jaqueline G. Mesquita, Tiago Roux Oliveira

arxiv:2412.20362 v1 · 2024-12-29 · math.OC · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IKUSP3STVOVQPZLZCPC263BY7}

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	2026-07-05T09:54:58.136311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e215493f729d5d583f2bc89e2d7b61c7c759ed473e07d1772bb57bacc3be6c5f

Aliases

arxiv: 2412.20362 · arxiv_version: 2412.20362v1 · doi: 10.48550/arxiv.2412.20362 · pith_short_12: 4IKUSP3STVOV · pith_short_16: 4IKUSP3STVOVQPZL · pith_short_8: 4IKUSP3S

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/4IKUSP3STVOVQPZLZCPC263BY7 \
  | 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: e215493f729d5d583f2bc89e2d7b61c7c759ed473e07d1772bb57bacc3be6c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "205924ce31429349f9bfb62e842ef181a4cc3e14d18ac203054274ba8ac35b40",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-29T05:52:17Z",
    "title_canon_sha256": "0aa9b26c8177a1eca36038acf4c7d9b63c2b619f9efbcd6c5d3e79d60e9b77c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20362",
    "kind": "arxiv",
    "version": 1
  }
}