Pith Number

pith:LLWUEEPJ

pith:2013:LLWUEEPJFRT6OFA7R7LR6XFKKC

not attested not anchored not stored refs pending

Operator Monotone Functions: Characterizations and Integral Representations

Pattrawut Chansangiam

arxiv:1305.2471 v1 · 2013-05-11 · 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{LLWUEEPJFRT6OFA7R7LR6XFKKC}

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	2026-05-18T00:56:51.983817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aed4211e92c67e7141f8fd71f5caa5091ee52e792495353c4292297ea339c94

Aliases

arxiv: 1305.2471 · arxiv_version: 1305.2471v1 · doi: 10.48550/arxiv.1305.2471 · pith_short_12: LLWUEEPJFRT6 · pith_short_16: LLWUEEPJFRT6OFA7 · pith_short_8: LLWUEEPJ

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/LLWUEEPJFRT6OFA7R7LR6XFKKC \
  | 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: 5aed4211e92c67e7141f8fd71f5caa5091ee52e792495353c4292297ea339c94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2f39b3acfaade81db572bad4141e11a190986f972f28a6e5dde0fc4b92baea2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-11T05:15:03Z",
    "title_canon_sha256": "c597b5985a854e0a72607719561ab912f37a8946511856c8ee35f08a97188a6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2471",
    "kind": "arxiv",
    "version": 1
  }
}