Pith Number

pith:CIJRFB6X

pith:2017:CIJRFB6XK7Z4N2DGVJXQJGWCZ3

not attested not anchored not stored refs pending

Upper and lower Lebesgue classification of multivalued mappings of two variables

Olena Karlova, Volodymyr Mykhaylyuk

arxiv:1708.01755 v1 · 2017-08-05 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIJRFB6XK7Z4N2DGVJXQJGWCZ3}

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	2026-05-18T00:38:34.987513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12131287d757f3c6e866aa6f049ac2cec4ccee0dad439422f130ddae174b2cdb

Aliases

arxiv: 1708.01755 · arxiv_version: 1708.01755v1 · doi: 10.48550/arxiv.1708.01755 · pith_short_12: CIJRFB6XK7Z4 · pith_short_16: CIJRFB6XK7Z4N2DG · pith_short_8: CIJRFB6X

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/CIJRFB6XK7Z4N2DGVJXQJGWCZ3 \
  | 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: 12131287d757f3c6e866aa6f049ac2cec4ccee0dad439422f130ddae174b2cdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df5ac94013111436abff67b722981056ab505f18cb240686f4583ececcde4fff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-08-05T11:33:13Z",
    "title_canon_sha256": "1c3c261255fbd41aaa38e5dca7c70160ae885d76389798d769695c89ff9eb3cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01755",
    "kind": "arxiv",
    "version": 1
  }
}