Pith Number

pith:N2HWD2U2

pith:2024:N2HWD2U2LK53SHOB3RIHHJX2LB

not attested not anchored not stored refs pending

Generic controllability of equivariant systems and applications to particle systems and neural networks

Andrei Agrachev (SISSA / ISAS, CaGE), Cyril Letrouit (LMO, INSMI-CNRS)

arxiv:2404.08289 v2 · 2024-04-12 · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2HWD2U2LK53SHOB3RIHHJX2LB}

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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.

Cited by

1 paper in Pith

The Geometry of Tokens in Internal Representations of Large Language Models

Receipt and verification

First computed	2026-07-05T09:59:14.921608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e8f61ea9a5abbb91dc1dc5073a6fa587ddf94760de5c17568324836f4862062

Aliases

arxiv: 2404.08289 · arxiv_version: 2404.08289v2 · doi: 10.48550/arxiv.2404.08289 · pith_short_12: N2HWD2U2LK53 · pith_short_16: N2HWD2U2LK53SHOB · pith_short_8: N2HWD2U2

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/N2HWD2U2LK53SHOB3RIHHJX2LB \
  | 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: 6e8f61ea9a5abbb91dc1dc5073a6fa587ddf94760de5c17568324836f4862062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ddaa63ac8312c682e6f04dabd30be4418987c6947c91d3a79260305ea76aa61",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-04-12T07:27:25Z",
    "title_canon_sha256": "4e3a878af316f7b29171957ec1740764d583bc8dabd5c2946b79e2af2bc479b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.08289",
    "kind": "arxiv",
    "version": 2
  }
}