Pith Number

pith:SX2R5A57

pith:2025:SX2R5A57YH7QAVDAHGPK4MQUJT

not attested not anchored not stored refs pending

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras

Falguni Roy, Rounak Biswas

arxiv:2506.03845 v1 · 2025-06-04 · 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{SX2R5A57YH7QAVDAHGPK4MQUJT}

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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.

Receipt and verification

First computed	2026-07-05T11:15:52.733238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95f51e83bfc1ff005460399eae32144ce3e641633f1daeac687e940d587f649d

Aliases

arxiv: 2506.03845 · arxiv_version: 2506.03845v1 · doi: 10.48550/arxiv.2506.03845 · pith_short_12: SX2R5A57YH7Q · pith_short_16: SX2R5A57YH7QAVDA · pith_short_8: SX2R5A57

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/SX2R5A57YH7QAVDAHGPK4MQUJT \
  | 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: 95f51e83bfc1ff005460399eae32144ce3e641633f1daeac687e940d587f649d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18bd710b7eb30f0697907e7c9d295eb1fa96d99012b36e3f1310d082a0cf0164",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-04T11:22:49Z",
    "title_canon_sha256": "ad14d561126f50ab4848e7c35677d7f709f25ac5602884d64342b5b1affb88fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03845",
    "kind": "arxiv",
    "version": 1
  }
}