Pith Number

pith:H5FG4YCM

pith:2013:H5FG4YCMW5F5I7VNFDQMQAP4CK

not attested not anchored not stored refs pending

Reducing graph subspaces and strong solutions to operator Riccati equations

Albrecht Seelmann, Konstantin A. Makarov, Stephan Schmitz

arxiv:1307.6439 v1 · 2013-07-24 · math.SP · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5FG4YCMW5F5I7VNFDQMQAP4CK}

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	2026-05-18T03:10:14.101155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f4a6e604cb74bd47ead28e0c801fc12a8938f83283c9811ed1f2f303adc86e0

Aliases

arxiv: 1307.6439 · arxiv_version: 1307.6439v1 · doi: 10.48550/arxiv.1307.6439 · pith_short_12: H5FG4YCMW5F5 · pith_short_16: H5FG4YCMW5F5I7VN · pith_short_8: H5FG4YCM

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/H5FG4YCMW5F5I7VNFDQMQAP4CK \
  | 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: 3f4a6e604cb74bd47ead28e0c801fc12a8938f83283c9811ed1f2f303adc86e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4142a2dda1bff835d177267abe77ee09c15e18a7d2b17301ecf756f5ac29effc",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-07-24T14:48:57Z",
    "title_canon_sha256": "7f05f03f0e8189338814a9c742103f26b1d64d0e3c892605530f5349444c5d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6439",
    "kind": "arxiv",
    "version": 1
  }
}