Pith Number

pith:AX57KFCR

pith:2013:AX57KFCR2LGIUBHARHO4F2NNFH

not attested not anchored not stored refs pending

A reduction technique for Generalised Riccati Difference Equations

Augusto Ferrante, Lorenzo Ntogramatzidis

arxiv:1305.5311 v1 · 2013-05-23 · math.DS · 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{AX57KFCR2LGIUBHARHO4F2NNFH}

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	2026-05-18T03:25:05.144247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05fbf51451d2cc8a04e089ddc2e9ad29d86602acec82a558060d536728575460

Aliases

arxiv: 1305.5311 · arxiv_version: 1305.5311v1 · doi: 10.48550/arxiv.1305.5311 · pith_short_12: AX57KFCR2LGI · pith_short_16: AX57KFCR2LGIUBHA · pith_short_8: AX57KFCR

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/AX57KFCR2LGIUBHARHO4F2NNFH \
  | 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: 05fbf51451d2cc8a04e089ddc2e9ad29d86602acec82a558060d536728575460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab35d96dfc4f1a98c7839b0640632abed936aba9037c82b5aea2539c0339d52",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-23T04:22:09Z",
    "title_canon_sha256": "f4594ca7ef04267fecbfb6914f521cfb8611b04e457cfdb898911e86c77d5f92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5311",
    "kind": "arxiv",
    "version": 1
  }
}