Pith Number

pith:MBQF6PIJ

pith:2009:MBQF6PIJEMWE7CVRDXVKD7TBPW

not attested not anchored not stored refs pending

Reduction Principles and the Stabilization of Closed Sets for Passive Systems

Manfredi Maggiore, Mohamed I. El-Hawwary

arxiv:0907.0686 v2 · 2009-07-03 · math.OC · 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{MBQF6PIJEMWE7CVRDXVKD7TBPW}

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	2026-05-17T23:48:41.259438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60605f3d09232c4f8ab11deaa1fe617d8f407d14c0a5ca8db71dd36c1b25c889

Aliases

arxiv: 0907.0686 · arxiv_version: 0907.0686v2 · doi: 10.48550/arxiv.0907.0686 · pith_short_12: MBQF6PIJEMWE · pith_short_16: MBQF6PIJEMWE7CVR · pith_short_8: MBQF6PIJ

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/MBQF6PIJEMWE7CVRDXVKD7TBPW \
  | 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: 60605f3d09232c4f8ab11deaa1fe617d8f407d14c0a5ca8db71dd36c1b25c889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7469beac7f71192a40ab27522a21bd1747b415f11fa8b017ed1134268977601",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-07-03T18:02:06Z",
    "title_canon_sha256": "a76fe3e8e9c313a12862ff440d6a9d30dc3c0e4bbb94e47d6c971a22aee8fdf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0686",
    "kind": "arxiv",
    "version": 2
  }
}