Pith Number

pith:3VUDTCVA

pith:1994:3VUDTCVARC6IIELQL5RO34MYVP

not attested not anchored not stored refs pending

Classes of Banach spaces stable and unstable with respect to the opening

Mikhail I. Ostrovskii

arxiv:math/9403212 v1 · 1994-03-31 · 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{3VUDTCVARC6IIELQL5RO34MYVP}

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	2026-05-18T04:41:16.615443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd68398aa088bc8411705f62edf198abe83e6f238d136984477e56bb775751ac

Aliases

arxiv: math/9403212 · arxiv_version: math/9403212v1 · doi: 10.48550/arxiv.math/9403212 · pith_short_12: 3VUDTCVARC6I · pith_short_16: 3VUDTCVARC6IIELQ · pith_short_8: 3VUDTCVA

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/3VUDTCVARC6IIELQL5RO34MYVP \
  | 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: dd68398aa088bc8411705f62edf198abe83e6f238d136984477e56bb775751ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca61eeb59ff4af56d8a60e52f6376dab9ea008e586b622e827435d5f37c0a0c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1994-03-31T18:21:33Z",
    "title_canon_sha256": "e4c60868070e51619e59e47b62696e774780addb94d47b16904fe108e448ee26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9403212",
    "kind": "arxiv",
    "version": 1
  }
}