Pith Number

pith:F7PHJL6B

pith:2005:F7PHJL6BFKRRRH7K4OSVT5DW6Y

not attested not anchored not stored refs pending

On Temple--Kato like inequalities and applications

Luka Grubisic

arxiv:math/0511408 v2 · 2005-11-16 · math.SP · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7PHJL6BFKRRRH7K4OSVT5DW6Y}

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	2026-06-03T22:06:18.407574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fde74afc12aa3189feae3a559f476f63c8da4d0012b33aa72c80d1b4dd65ce0

Aliases

arxiv: math/0511408 · arxiv_version: math/0511408v2 · doi: 10.48550/arxiv.math/0511408 · pith_short_12: F7PHJL6BFKRR · pith_short_16: F7PHJL6BFKRRRH7K · pith_short_8: F7PHJL6B

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/F7PHJL6BFKRRRH7K4OSVT5DW6Y \
  | 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: 2fde74afc12aa3189feae3a559f476f63c8da4d0012b33aa72c80d1b4dd65ce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "120695a686c63c72fc606debe7caa0631d32f54981a1c7a0cbb9768cc17830a2",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2005-11-16T11:19:38Z",
    "title_canon_sha256": "9a566f50c0daa103470658752dabfd078a236a75c474d55e6e9bfde21578e1c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511408",
    "kind": "arxiv",
    "version": 2
  }
}