Pith Number

pith:CQ7WHVNV

pith:2023:CQ7WHVNVENXMAMSI3TSFXVLPE4

not attested not anchored not stored refs pending

Lipschitz Estimates and an application to trace formulae

Arup Chattopadhyay, Chandan Pradhan, Saikat Giri, Tirthankar Bhattacharyya

arxiv:2312.08706 v4 · 2023-12-14 · 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{CQ7WHVNVENXMAMSI3TSFXVLPE4}

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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

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

Receipt and verification

First computed	2026-07-05T11:59:04.128001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143f63d5b5236ec03248dce45bd56f270be09ce9fe3add14526b9e6a163f0f28

Aliases

arxiv: 2312.08706 · arxiv_version: 2312.08706v4 · doi: 10.48550/arxiv.2312.08706 · pith_short_12: CQ7WHVNVENXM · pith_short_16: CQ7WHVNVENXMAMSI · pith_short_8: CQ7WHVNV

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/CQ7WHVNVENXMAMSI3TSFXVLPE4 \
  | 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: 143f63d5b5236ec03248dce45bd56f270be09ce9fe3add14526b9e6a163f0f28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c96efa8cef6055b8ac7058fdbc921583fcf9c0e881641ea1d9280ad4818d70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-12-14T07:47:15Z",
    "title_canon_sha256": "319a28c0ffacda70f32460f6bf6d4d617f0c36af6d950e4a98ff50e6f37410e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.08706",
    "kind": "arxiv",
    "version": 4
  }
}