Pith Number

pith:6AQZHT7F

pith:2012:6AQZHT7FPAMTSECFW2KGTR7ROP

not attested not anchored not stored refs pending

Order preserving and order reversing operators on the class of convex functions in Banach spaces

Alfredo N. Iusem, Benar F. Svaiter, Daniel Reem

arxiv:1212.1120 v4 · 2012-12-04 · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AQZHT7FPAMTSECFW2KGTR7ROP}

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	2026-05-18T02:29:25.235048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f02193cfe57819391045b69469c7f173eb8ac3dd4d1c430b0c2239f958b8a8f9

Aliases

arxiv: 1212.1120 · arxiv_version: 1212.1120v4 · doi: 10.48550/arxiv.1212.1120 · pith_short_12: 6AQZHT7FPAMT · pith_short_16: 6AQZHT7FPAMTSECF · pith_short_8: 6AQZHT7F

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/6AQZHT7FPAMTSECFW2KGTR7ROP \
  | 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: f02193cfe57819391045b69469c7f173eb8ac3dd4d1c430b0c2239f958b8a8f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbd370fd92085b4219c146b0c516ccef85d53b574da259b98da5622785bd5ec2",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-04T13:35:54Z",
    "title_canon_sha256": "a4f9c69ccc90f90728d81169deb06a0068670ea432085c4ae39ef1b65dc22c6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1120",
    "kind": "arxiv",
    "version": 4
  }
}