pith. sign in
Pith Number

pith:NSQEOQPK

pith:2021:NSQEOQPKQOXSH647MPSUKK7TT6
not attested not anchored not stored refs pending

On the chaoticity of derivatives

Marat V. Markin

arxiv:2106.09682 v6 · 2021-06-17 · math.FA · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NSQEOQPKQOXSH647MPSUKK7TT6}

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 2026-05-20T00:05:23.670986Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6ca04741ea83af23fb9f63e5452bf39f9f2feaeae46bec8cbd164b838599841e

Aliases

arxiv: 2106.09682 · arxiv_version: 2106.09682v6 · doi: 10.48550/arxiv.2106.09682 · pith_short_12: NSQEOQPKQOXS · pith_short_16: NSQEOQPKQOXSH647 · pith_short_8: NSQEOQPK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NSQEOQPKQOXSH647MPSUKK7TT6 \
  | 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: 6ca04741ea83af23fb9f63e5452bf39f9f2feaeae46bec8cbd164b838599841e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1449dd004949451d935f7c0cdab201d0bdc5e1d74f68ed52deff7d006f6534bf",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-06-17T17:35:08Z",
    "title_canon_sha256": "e89145ebc69b3a93a5d89849c2dc9331d0b5cc11076f758e6439fb6f8e4ea51c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.09682",
    "kind": "arxiv",
    "version": 6
  }
}