Pith Number

pith:F63K76XT

pith:2026:F63K76XT76VUSEBWM3HGTD66LC

not attested not anchored not stored refs pending

On the fibers and semi-algebraicity of ReLU neuromanifolds

Axel Flinth, Michele Pernice, Stefano Mereta

arxiv:2606.02826 v1 · 2026-06-01 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F63K76XT76VUSEBWM3HGTD66LC}

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	2026-06-03T01:05:23.976548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb6affaf3ffab49103666ce698fde58a88cdcd0100e5d4be0a2d74fe8b77b72

Aliases

arxiv: 2606.02826 · arxiv_version: 2606.02826v1 · doi: 10.48550/arxiv.2606.02826 · pith_short_12: F63K76XT76VU · pith_short_16: F63K76XT76VUSEBW · pith_short_8: F63K76XT

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/F63K76XT76VUSEBWM3HGTD66LC \
  | 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: 2fb6affaf3ffab49103666ce698fde58a88cdcd0100e5d4be0a2d74fe8b77b72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a0957200d257776b038c62ee5f9e96c3f51e46d9dacc8f851e423f5f41a581",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-01T19:43:44Z",
    "title_canon_sha256": "92c6a8365e809943a1481bb72851ea69487360337f6e24e262ed6f0e1b5e20d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02826",
    "kind": "arxiv",
    "version": 1
  }
}