Pith Number

pith:MPOCKO7U

pith:2014:MPOCKO7UIL5QUE427FRFXBMFWE

not attested not anchored not stored refs pending

Special functions associated with positive linear operators

Ioan Rasa

arxiv:1409.1015 v2 · 2014-09-03 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPOCKO7UIL5QUE427FRFXBMFWE}

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	2026-05-18T02:33:25.055130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63dc253bf442fb0a139af9625b8585b13ad18948e7ab1b05bb8412c6f5673c9f

Aliases

arxiv: 1409.1015 · arxiv_version: 1409.1015v2 · doi: 10.48550/arxiv.1409.1015 · pith_short_12: MPOCKO7UIL5Q · pith_short_16: MPOCKO7UIL5QUE42 · pith_short_8: MPOCKO7U

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/MPOCKO7UIL5QUE427FRFXBMFWE \
  | 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: 63dc253bf442fb0a139af9625b8585b13ad18948e7ab1b05bb8412c6f5673c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a6dc60752031295c26e198d13cd69aa930e7ca20215267111e1f0d16a38df57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-09-03T10:01:01Z",
    "title_canon_sha256": "06903ef2ab4dea02fa2bd15ddfcd3895f3d96b0184f95363255441aa43cfd5ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1015",
    "kind": "arxiv",
    "version": 2
  }
}