Pith Number

pith:UW2YOCAV

pith:2016:UW2YOCAVIBUCU6TN3YOREEATGJ

not attested not anchored not stored refs pending

On linearity of pan-integral and pan-integrable functions space

Jun Li, Radko Mesiar, Yao Ouyang

arxiv:1612.01673 v1 · 2016-12-06 · 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{UW2YOCAVIBUCU6TN3YOREEATGJ}

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	2026-05-18T00:55:47.884094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5b587081540682a7a6dde1d12101332521493d65b94e81d72b7811f88431336

Aliases

arxiv: 1612.01673 · arxiv_version: 1612.01673v1 · doi: 10.48550/arxiv.1612.01673 · pith_short_12: UW2YOCAVIBUC · pith_short_16: UW2YOCAVIBUCU6TN · pith_short_8: UW2YOCAV

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/UW2YOCAVIBUCU6TN3YOREEATGJ \
  | 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: a5b587081540682a7a6dde1d12101332521493d65b94e81d72b7811f88431336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0d0daa82c18e5e385a0b338bb2120308f02c3e1241be66bdfb92e2fccbd1864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-06T05:48:21Z",
    "title_canon_sha256": "cc6de1fcb686cadcde1a2542c6a9e6b6eba3660f62ad08b3ab24225490b4ac29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01673",
    "kind": "arxiv",
    "version": 1
  }
}