Pith Number

pith:IATV2WSQ

pith:2012:IATV2WSQGOA7SO3YX5K2YJVDCA

not attested not anchored not stored refs pending

On the stability of projection-based linear reduced-order models: Descriptor vs non-descriptor forms

Charbel Farhat, David Amsallem

arxiv:1209.5694 v2 · 2012-09-25 · 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{IATV2WSQGOA7SO3YX5K2YJVDCA}

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	2026-05-18T03:37:08.052304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40275d5a503381f93b78bf55ac26a3101bff70b6e53000b7eedb57d6ce50f090

Aliases

arxiv: 1209.5694 · arxiv_version: 1209.5694v2 · doi: 10.48550/arxiv.1209.5694 · pith_short_12: IATV2WSQGOA7 · pith_short_16: IATV2WSQGOA7SO3Y · pith_short_8: IATV2WSQ

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/IATV2WSQGOA7SO3YX5K2YJVDCA \
  | 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: 40275d5a503381f93b78bf55ac26a3101bff70b6e53000b7eedb57d6ce50f090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9444ed544eca5bb03cb3585b11274be2361de4fb663fcc2e21fdd4ad3da1358",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-25T17:30:53Z",
    "title_canon_sha256": "56a33b932113d2b2c20df82c4f41ac019eb7e0780f9738c3634cb4cc4c419fc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5694",
    "kind": "arxiv",
    "version": 2
  }
}