Pith Number

pith:SZSNXQEA

pith:2001:SZSNXQEAQMTLZCJX76DH4TUG5Q

not attested not anchored not stored refs pending

The Banach envelope of Paley-Wiener type spaces

Mark Hoffmann

arxiv:math/0109206 v1 · 2001-09-26 · 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{SZSNXQEAQMTLZCJX76DH4TUG5Q}

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	2026-07-04T14:35:32.190014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9664dbc0808326bc8937ff867e4e86ec30d6562a71395f458ad875c3c7b332bf

Aliases

arxiv: math/0109206 · arxiv_version: math/0109206v1 · doi: 10.48550/arxiv.math/0109206 · pith_short_12: SZSNXQEAQMTL · pith_short_16: SZSNXQEAQMTLZCJX · pith_short_8: SZSNXQEA

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/SZSNXQEAQMTLZCJX76DH4TUG5Q \
  | 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: 9664dbc0808326bc8937ff867e4e86ec30d6562a71395f458ad875c3c7b332bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbfc3cb805179373e25d22eeca1cfbf871a79b8030d52af3467abcea5aab9525",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2001-09-26T03:59:13Z",
    "title_canon_sha256": "88b3506f6cd6b588f4d7a447fa33f522e820517274524e69b278788f848b53f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0109206",
    "kind": "arxiv",
    "version": 1
  }
}