Pith Number

pith:CUKBVCIG

pith:2019:CUKBVCIGBW2SGZII3N2EP5HFHD

not attested not anchored not stored refs pending

Topological reducibilities for discontinuous functions and their structures

Takayuki Kihara

arxiv:1906.10573 v1 · 2019-06-25 · math.LO · 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{CUKBVCIGBW2SGZII3N2EP5HFHD}

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	2026-05-17T23:42:15.945073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15141a89060db5236508db7447f4e538d268680c35d20ca1a641c78c48161083

Aliases

arxiv: 1906.10573 · arxiv_version: 1906.10573v1 · doi: 10.48550/arxiv.1906.10573 · pith_short_12: CUKBVCIGBW2S · pith_short_16: CUKBVCIGBW2SGZII · pith_short_8: CUKBVCIG

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/CUKBVCIGBW2SGZII3N2EP5HFHD \
  | 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: 15141a89060db5236508db7447f4e538d268680c35d20ca1a641c78c48161083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e804638a4d21b6f0a8ef9d2b1363dc18ee5f8e6a9b3e8d8b69461fc814600781",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-06-25T14:44:03Z",
    "title_canon_sha256": "f50cd89ffefdc27f7d1f75fe74b59a9edd39e9072abdfc6c95820979b3db94ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10573",
    "kind": "arxiv",
    "version": 1
  }
}