Pith Number

pith:MI34KGDS

pith:2025:MI34KGDSGETVNOVYPQCQ7RVSJM

not attested not anchored not stored refs pending

Continuum-wise hyperbolicity, periodic shadowing, and measures of maximal entropy

Bernardo Carvalho, Elias Rego, Piotr Oprocha

arxiv:2503.08991 v2 · 2025-03-12 · 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{MI34KGDSGETVNOVYPQCQ7RVSJM}

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	2026-06-03T01:05:04.190719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6237c51872312756bab87c050fc6b24b1d260b6512459f89cd274107dcb2a233

Aliases

arxiv: 2503.08991 · arxiv_version: 2503.08991v2 · doi: 10.48550/arxiv.2503.08991 · pith_short_12: MI34KGDSGETV · pith_short_16: MI34KGDSGETVNOVY · pith_short_8: MI34KGDS

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/MI34KGDSGETVNOVYPQCQ7RVSJM \
  | 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: 6237c51872312756bab87c050fc6b24b1d260b6512459f89cd274107dcb2a233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca5e68cae280890d67845f7431cc8ac9a11d9c6239a4ca7a04b48cace61dbb7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-03-12T01:52:22Z",
    "title_canon_sha256": "9dad2501b0fe960c419a1f0224a43e47fb7301f34df066a54975145e472f75d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.08991",
    "kind": "arxiv",
    "version": 2
  }
}