Pith Number

pith:XJLPKB5V

pith:2013:XJLPKB5VZ5X2DZ3IV6JAG4OFSS

not attested not anchored not stored refs pending

Integral Representations and Decompositions of Operator Monotone Functions on the Nonnegative Reals

Pattrawut Chansangiam

arxiv:1304.7936 v1 · 2013-04-30 · 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{XJLPKB5VZ5X2DZ3IV6JAG4OFSS}

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	2026-05-18T03:26:51.362657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba56f507b5cf6fa1e768af920371c594880eec58a710c1b8f5cfad50b070ed64

Aliases

arxiv: 1304.7936 · arxiv_version: 1304.7936v1 · doi: 10.48550/arxiv.1304.7936 · pith_short_12: XJLPKB5VZ5X2 · pith_short_16: XJLPKB5VZ5X2DZ3I · pith_short_8: XJLPKB5V

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/XJLPKB5VZ5X2DZ3IV6JAG4OFSS \
  | 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: ba56f507b5cf6fa1e768af920371c594880eec58a710c1b8f5cfad50b070ed64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a82bfe44d7abfe18de2f0dde2a8954998308317f1798c07d1b660997c6786cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-04-30T09:51:25Z",
    "title_canon_sha256": "15f0efe62a5dfec0048b28134887d7ff63e8a1567c1cddf80dadc51741ddba45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7936",
    "kind": "arxiv",
    "version": 1
  }
}