Pith Number

pith:WH5ES4Z2

pith:2020:WH5ES4Z2UM43E74WEKHQDM2KMK

not attested not anchored not stored refs pending

Multidimensional Persistence Module Classification via Lattice-Theoretic Convolutions

Hans Riess, Jakob Hansen, Robert Ghrist

arxiv:2011.14057 v2 · 2020-11-28 · math.AT · cs.LG · eess.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WH5ES4Z2UM43E74WEKHQDM2KMK}

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	2026-07-05T04:53:24.088554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1fa49733aa339b27f96228f01b34a628b927f977a4c2e2d94172dc449420f26

Aliases

arxiv: 2011.14057 · arxiv_version: 2011.14057v2 · doi: 10.48550/arxiv.2011.14057 · pith_short_12: WH5ES4Z2UM43 · pith_short_16: WH5ES4Z2UM43E74W · pith_short_8: WH5ES4Z2

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/WH5ES4Z2UM43E74WEKHQDM2KMK \
  | 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: b1fa49733aa339b27f96228f01b34a628b927f977a4c2e2d94172dc449420f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4510238c0ceefe1773f66d92ab116c46dc1c1f155671bba2b178e1b57b40cf0",
    "cross_cats_sorted": [
      "cs.LG",
      "eess.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-11-28T03:28:39Z",
    "title_canon_sha256": "15c08fb3c46c0554047b2d742642151b87508f7650fdf04631f09a7030f5ab08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.14057",
    "kind": "arxiv",
    "version": 2
  }
}