Pith Number

pith:37QKPWA6

pith:2025:37QKPWA6OTN6GTYWPTPI3XE3C6

not attested not anchored not stored refs pending

Controllability of induced bilinear systems on the sphere

Efrain Cruz-Mullisaca, Marco A. Colque-Choquecallata, Victor H. Patty-Yujra

arxiv:2506.07749 v1 · 2025-06-09 · 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{37QKPWA6OTN6GTYWPTPI3XE3C6}

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	2026-07-05T11:18:32.659903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfe0a7d81e74dbe34f167cde8ddc9b17b718925772fd49d74b25bc3133a99cd3

Aliases

arxiv: 2506.07749 · arxiv_version: 2506.07749v1 · doi: 10.48550/arxiv.2506.07749 · pith_short_12: 37QKPWA6OTN6 · pith_short_16: 37QKPWA6OTN6GTYW · pith_short_8: 37QKPWA6

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/37QKPWA6OTN6GTYWPTPI3XE3C6 \
  | 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: dfe0a7d81e74dbe34f167cde8ddc9b17b718925772fd49d74b25bc3133a99cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd1639d195f356e67a2a920142709bf705e8f2f13406d796062ff5ee3904e839",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-09T13:33:36Z",
    "title_canon_sha256": "4ce9e353cad7c18237fa2a9fc116b2c6c38e5eb0aee00fe7216bb400329b1dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07749",
    "kind": "arxiv",
    "version": 1
  }
}