Pith Number

pith:I4XOUBDX

pith:2018:I4XOUBDXVLVT5DFVCTHNAA5USL

not attested not anchored not stored refs pending

Frame Properties of Operator Orbits

Friedrich Philipp, Marzieh Hasannasab, Ole Christensen

arxiv:1804.03438 v2 · 2018-04-10 · 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{I4XOUBDXVLVT5DFVCTHNAA5USL}

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	2026-05-18T00:08:54.364610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472eea0477aaeb3e8cb514ced003b492c51661356fb5b1298ac9014e8854e965

Aliases

arxiv: 1804.03438 · arxiv_version: 1804.03438v2 · doi: 10.48550/arxiv.1804.03438 · pith_short_12: I4XOUBDXVLVT · pith_short_16: I4XOUBDXVLVT5DFV · pith_short_8: I4XOUBDX

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/I4XOUBDXVLVT5DFVCTHNAA5USL \
  | 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: 472eea0477aaeb3e8cb514ced003b492c51661356fb5b1298ac9014e8854e965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c45e36be9063b6f7d92c584f7ae7dc734c332f59325a4451bd888c06098aa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-10T10:30:01Z",
    "title_canon_sha256": "c3f0e00777459c4f1302051ecf55d77eba5e35dbea0345ef5a681f5344a0f81b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03438",
    "kind": "arxiv",
    "version": 2
  }
}