Pith Number

pith:53UVNKSP

pith:2012:53UVNKSPSYYU47VSIOSTV6ZT37

not attested not anchored not stored refs pending

Controlled G-Frames and Their G-Multipliers in Hilbert spaces

Abolhassan Fereydooni, Asghar Rahimi

arxiv:1204.1359 v1 · 2012-04-05 · 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{53UVNKSPSYYU47VSIOSTV6ZT37}

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	2026-05-18T03:58:25.865241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee956aa4f96314e7eb243a53afb33dfc5870022ee346bf2417c26ba8598ad71

Aliases

arxiv: 1204.1359 · arxiv_version: 1204.1359v1 · doi: 10.48550/arxiv.1204.1359 · pith_short_12: 53UVNKSPSYYU · pith_short_16: 53UVNKSPSYYU47VS · pith_short_8: 53UVNKSP

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/53UVNKSPSYYU47VSIOSTV6ZT37 \
  | 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: eee956aa4f96314e7eb243a53afb33dfc5870022ee346bf2417c26ba8598ad71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e2c6b3bfdc4a9e228bcaa9e0b043ff09f61587c08ef45312cb522cc859e631",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-05T21:31:22Z",
    "title_canon_sha256": "50e17292d07a02cc503408533c8f7dbf96aecac6e52832c82acd2ed2d988bd2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1359",
    "kind": "arxiv",
    "version": 1
  }
}