Pith Number

pith:33Q5JQAJ

pith:2026:33Q5JQAJOW2TOGOLQH2H2JZBZL

not attested not anchored not stored refs pending

Contraction versus Recurrence: An Exponential Separation in Observation-Based Prediction of Deterministic Dynamics

Pavel Popovich

arxiv:2607.14885 v1 · 2026-07-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33Q5JQAJOW2TOGOLQH2H2JZBZL}

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	2026-07-17T01:21:56.994057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee1d4c00975b53719cb81f47d2721caecf1572af7c6ad1e9e3a416691d04eb8

Aliases

arxiv: 2607.14885 · arxiv_version: 2607.14885v1 · doi: 10.48550/arxiv.2607.14885 · pith_short_12: 33Q5JQAJOW2T · pith_short_16: 33Q5JQAJOW2TOGOL · pith_short_8: 33Q5JQAJ

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/33Q5JQAJOW2TOGOLQH2H2JZBZL \
  | 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: dee1d4c00975b53719cb81f47d2721caecf1572af7c6ad1e9e3a416691d04eb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a15abc9dac3a376c9dfdeba5b4457784c65401c669f851f2ce1cc0130b28783d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-16T11:58:44Z",
    "title_canon_sha256": "bd74e9b4946c381c5895e757d47c56797cce5a4b5fd747b7daca1855576797e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14885",
    "kind": "arxiv",
    "version": 1
  }
}