Pith Number

pith:7ECRMIBZ

pith:2008:7ECRMIBZMPE47NE3BAT7R4GP5W

not attested not anchored not stored refs pending

Inverse theorems in the theory of approximation of vectors in a Banach space with exponential type entire vectors

S. Torba

arxiv:0809.4030 v1 · 2008-09-24 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ECRMIBZMPE47NE3BAT7R4GP5W}

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	2026-05-18T04:27:03.804522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f90516203963c9cfb49b0827f8f0cfed997cd6236b2602a73a37ac6e4b7bfe70

Aliases

arxiv: 0809.4030 · arxiv_version: 0809.4030v1 · doi: 10.48550/arxiv.0809.4030 · pith_short_12: 7ECRMIBZMPE4 · pith_short_16: 7ECRMIBZMPE47NE3 · pith_short_8: 7ECRMIBZ

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/7ECRMIBZMPE47NE3BAT7R4GP5W \
  | 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: f90516203963c9cfb49b0827f8f0cfed997cd6236b2602a73a37ac6e4b7bfe70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7970291d6f1c6a7f5f03dff540b898973f63b1867d7d9cdb87fd9a2b3a21bc82",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-09-24T06:59:52Z",
    "title_canon_sha256": "d6587797eb3a18f431b2eb590a755d059419aef132c194df277aa8e66af47136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4030",
    "kind": "arxiv",
    "version": 1
  }
}