Pith Number

pith:EPAKZOWD

pith:2018:EPAKZOWDKKJ2JLYXQMQKWOCQNO

not attested not anchored not stored refs pending

The Cauchy dual and 2-isometric liftings of concave operators

Catalin Badea, Laurian Suciu

arxiv:1811.09225 v1 · 2018-11-22 · 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{EPAKZOWDKKJ2JLYXQMQKWOCQNO}

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	2026-05-17T23:57:30.764247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23c0acbac35293a4af178320ab38506b9312945b34e4b313a219d13c2c258ff7

Aliases

arxiv: 1811.09225 · arxiv_version: 1811.09225v1 · doi: 10.48550/arxiv.1811.09225 · pith_short_12: EPAKZOWDKKJ2 · pith_short_16: EPAKZOWDKKJ2JLYX · pith_short_8: EPAKZOWD

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/EPAKZOWDKKJ2JLYXQMQKWOCQNO \
  | 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: 23c0acbac35293a4af178320ab38506b9312945b34e4b313a219d13c2c258ff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bd9ee97488617aac5386c5ab58e8e34252451e0b1b9353659d5006641e91df4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-22T16:20:09Z",
    "title_canon_sha256": "7efdf3f4c852b028a0dbb51bbbd48e40c255bb1f744e5660463c60323c8b7ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09225",
    "kind": "arxiv",
    "version": 1
  }
}