Pith Number

pith:ZZDV4UHV

pith:2019:ZZDV4UHV54NX4KO5QYNIMM3PTU

not attested not anchored not stored refs pending

A numerical measure of the instability of Mapper-type algorithms

Francisco Belch\'i, Jacek Brodzki, Mahesan Niranjan, Matthew Burfitt

arxiv:1906.01507 v1 · 2019-06-04 · math.AT · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZDV4UHV54NX4KO5QYNIMM3PTU}

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	2026-05-17T23:44:16.330228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce475e50f5ef1b7e29dd861a86336f9d2adb1b87a61fbf4fad23ba278a5a91f1

Aliases

arxiv: 1906.01507 · arxiv_version: 1906.01507v1 · doi: 10.48550/arxiv.1906.01507 · pith_short_12: ZZDV4UHV54NX · pith_short_16: ZZDV4UHV54NX4KO5 · pith_short_8: ZZDV4UHV

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/ZZDV4UHV54NX4KO5QYNIMM3PTU \
  | 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: ce475e50f5ef1b7e29dd861a86336f9d2adb1b87a61fbf4fad23ba278a5a91f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4837b5015247ac9a9b06666509e7de2dbad04d902b28148db6b129757dfb2e0d",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-06-04T15:15:14Z",
    "title_canon_sha256": "13a039c808b9a6e0b5bfda2494f073021156689a99e5a0b246466976cb9544f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01507",
    "kind": "arxiv",
    "version": 1
  }
}