Pith Number

pith:RWLDNXYG

pith:2025:RWLDNXYGDCPMCKC6WJZUV7355B

not attested not anchored not stored refs pending

Birkhoff-Kellogg type results in product spaces and their application to differential systems

Alessandro Calamai, Gennaro Infante, Jorge Rodr\'iguez-L\'opez

arxiv:2509.01392 v2 · 2025-09-01 · math.FA · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWLDNXYGDCPMCKC6WJZUV7355B}

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	2026-06-05T01:15:15.704489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d9636df06189ec1285eb2734aff7de85519f09a4cd3c9ae9f851746c67af135

Aliases

arxiv: 2509.01392 · arxiv_version: 2509.01392v2 · doi: 10.48550/arxiv.2509.01392 · pith_short_12: RWLDNXYGDCPM · pith_short_16: RWLDNXYGDCPMCKC6 · pith_short_8: RWLDNXYG

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/RWLDNXYGDCPMCKC6WJZUV7355B \
  | 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: 8d9636df06189ec1285eb2734aff7de85519f09a4cd3c9ae9f851746c67af135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ae751733d684dbd6532075e3b8f5cacc3d73160159a9576e24140305ebeb461",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-09-01T11:36:37Z",
    "title_canon_sha256": "a6be5f4040c31a3afa741ff3d82ef2814c6b5e20799a9992a997856937689da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01392",
    "kind": "arxiv",
    "version": 2
  }
}