Pith Number

pith:H5NDEPJ3

pith:2024:H5NDEPJ3IESMBOE5YBNZBFBINW

not attested not anchored not stored refs pending

Trace formulas for $\mathcal{S}^p$-perturbations and extension of Koplienko-Neidhardt trace formulas

Arup Chattopadhyay, Chandan Pradhan, Cl\'ement Coine, Saikat Giri

arxiv:2411.16426 v2 · 2024-11-25 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5NDEPJ3IESMBOE5YBNZBFBINW}

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	2026-07-05T09:42:33.490178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f5a323d3b4124c0b89dc05b9094286d988887756ec3609f8c92ef705efe6a32

Aliases

arxiv: 2411.16426 · arxiv_version: 2411.16426v2 · doi: 10.48550/arxiv.2411.16426 · pith_short_12: H5NDEPJ3IESM · pith_short_16: H5NDEPJ3IESMBOE5 · pith_short_8: H5NDEPJ3

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/H5NDEPJ3IESMBOE5YBNZBFBINW \
  | 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: 3f5a323d3b4124c0b89dc05b9094286d988887756ec3609f8c92ef705efe6a32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c128b62a542e8a8f20b59d0e6359b1d2040ffd46a79bd67e3e7e9b3b9d2298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-11-25T14:28:47Z",
    "title_canon_sha256": "83d03a31e17d73d42897cb8d41a10881e1ccf241d3f77e9b3adeb781b2d57a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16426",
    "kind": "arxiv",
    "version": 2
  }
}