Pith Number

pith:QC72V3NT

pith:2019:QC72V3NT5E6TAV7J7JS2XVG5Z4

not attested not anchored not stored refs pending

Continuous Selections of Lower semicontinuous Set-valued Mappings

Gary Gruenhage, Rongxin Shen, Ziqin Feng

arxiv:1904.01085 v1 · 2019-04-01 · 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{QC72V3NT5E6TAV7J7JS2XVG5Z4}

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	2026-05-17T23:49:37.944731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80bfaaedb3e93d3057e9fa65abd4ddcf1aeaf005e3ae8d97f613b1de90827bba

Aliases

arxiv: 1904.01085 · arxiv_version: 1904.01085v1 · doi: 10.48550/arxiv.1904.01085 · pith_short_12: QC72V3NT5E6T · pith_short_16: QC72V3NT5E6TAV7J · pith_short_8: QC72V3NT

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/QC72V3NT5E6TAV7J7JS2XVG5Z4 \
  | 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: 80bfaaedb3e93d3057e9fa65abd4ddcf1aeaf005e3ae8d97f613b1de90827bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5086767cb18eb8bc3e98864d84734e4191ff67e6e0b260e4dd95c1ae7db0a39d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-04-01T19:50:36Z",
    "title_canon_sha256": "e0afe7746dd904d8b6ee590c2221db1be13d7a6c028c2359e8a8347aa9bbe8e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01085",
    "kind": "arxiv",
    "version": 1
  }
}