Pith Number

pith:UUTGZFW6

pith:2022:UUTGZFW6PC2MT2YGW3YMO45BFS

not attested not anchored not stored refs pending

Local and global topological complexity measures OF ReLU neural network functions

J. Elisenda Grigsby, Kathryn Lindsey, Marissa Masden

arxiv:2204.06062 v2 · 2022-04-12 · math.AT · cs.CG · cs.LG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUTGZFW6PC2MT2YGW3YMO45BFS}

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	2026-07-05T08:03:04.700294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5266c96de78b4c9eb06b6f0c773a12ca871f98e78d1e9eef0267083dfbb20a8

Aliases

arxiv: 2204.06062 · arxiv_version: 2204.06062v2 · doi: 10.48550/arxiv.2204.06062 · pith_short_12: UUTGZFW6PC2M · pith_short_16: UUTGZFW6PC2MT2YG · pith_short_8: UUTGZFW6

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/UUTGZFW6PC2MT2YGW3YMO45BFS \
  | 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: a5266c96de78b4c9eb06b6f0c773a12ca871f98e78d1e9eef0267083dfbb20a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2724fa6fc6a5457f35b3621b6769c1d5c60830fba797932f2c20d3abc2abed3",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.LG",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-04-12T19:49:13Z",
    "title_canon_sha256": "ed6295f4d39c9e6d825854e8d2fa45a3f63a46f453ff20aece9cab63777b14cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.06062",
    "kind": "arxiv",
    "version": 2
  }
}