Pith Number

pith:5RF7ZTXT

pith:2013:5RF7ZTXTW6ENWSSZE5URYKFWAM

not attested not anchored not stored refs pending

On the lattice structure of weakly continuous operators on the space of measures

Markus Kunze, Moritz Gerlach

arxiv:1307.8373 v1 · 2013-07-31 · 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{5RF7ZTXTW6ENWSSZE5URYKFWAM}

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	2026-05-18T01:27:55.003810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec4bfccef3b788db4a5927691c28b60333f333a5889c51a13ff6ec7f8f122af5

Aliases

arxiv: 1307.8373 · arxiv_version: 1307.8373v1 · doi: 10.48550/arxiv.1307.8373 · pith_short_12: 5RF7ZTXTW6EN · pith_short_16: 5RF7ZTXTW6ENWSSZ · pith_short_8: 5RF7ZTXT

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/5RF7ZTXTW6ENWSSZE5URYKFWAM \
  | 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: ec4bfccef3b788db4a5927691c28b60333f333a5889c51a13ff6ec7f8f122af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5c91b96d7e4d9cb0539816bfbe536c59358f7b71f5e3148a957c4b32905ff60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-31T16:12:34Z",
    "title_canon_sha256": "4cfd22c20d575c6e4067dc39af118ab6f98c53adaa65e5d466c395ddeab9996b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8373",
    "kind": "arxiv",
    "version": 1
  }
}