Pith Number

pith:ENRGK46D

pith:2025:ENRGK46DTWGZ5T2W5VRVUAQ7VB

not attested not anchored not stored refs pending

Stable invariant manifold for generalized ODEs with applications to measure differential equations

Paolo Piccione, Weijie Lu, Yonghui Xia

arxiv:2506.02874 v2 · 2025-06-03 · 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{ENRGK46DTWGZ5T2W5VRVUAQ7VB}

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	2026-07-05T11:38:29.923605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23626573c39d8d9ecf56ed635a021fa862c6f018ace9339d26f2324b6b90a422

Aliases

arxiv: 2506.02874 · arxiv_version: 2506.02874v2 · doi: 10.48550/arxiv.2506.02874 · pith_short_12: ENRGK46DTWGZ · pith_short_16: ENRGK46DTWGZ5T2W · pith_short_8: ENRGK46D

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/ENRGK46DTWGZ5T2W5VRVUAQ7VB \
  | 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: 23626573c39d8d9ecf56ed635a021fa862c6f018ace9339d26f2324b6b90a422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fa7ca5f6fd462a163639cef1ef21f3c3b0257747a88da8b05101e938ab7bb8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-06-03T13:39:40Z",
    "title_canon_sha256": "3de0c3be44dcabe89ba0f71c8368e67f508ee0c977928492390215994a584857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02874",
    "kind": "arxiv",
    "version": 2
  }
}