Pith Number

pith:44A3VIL2

pith:1993:44A3VIL2QWA2YTQF2HKEXG6PAV

not attested not anchored not stored refs pending

Random Banach spaces. The limitations of the method

P. Mankiewicz, Stanislaw J. Szarek

arxiv:math/9305203 v1 · 1993-05-11 · 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{44A3VIL2QWA2YTQF2HKEXG6PAV}

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	2026-05-18T01:05:52.191434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e701baa17a8581ac4e05d1d44b9bcf0541dcdb370e2af05633b7cb5d2d765aec

Aliases

arxiv: math/9305203 · arxiv_version: math/9305203v1 · doi: 10.48550/arxiv.math/9305203 · pith_short_12: 44A3VIL2QWA2 · pith_short_16: 44A3VIL2QWA2YTQF · pith_short_8: 44A3VIL2

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/44A3VIL2QWA2YTQF2HKEXG6PAV \
  | 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: e701baa17a8581ac4e05d1d44b9bcf0541dcdb370e2af05633b7cb5d2d765aec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b63f26643556fe32183cb25cb4fd2ce4bd8eace4c7e7966eca2d19593eedf9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1993-05-11T20:56:21Z",
    "title_canon_sha256": "96f56e96dfbec54480f84b59c17cedf366553debdb20bd30d005445425bc725b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9305203",
    "kind": "arxiv",
    "version": 1
  }
}