Pith Number

pith:MDJUYZQN

pith:1993:MDJUYZQNBH5RCQJHC2Z7TSMVPX

not attested not anchored not stored refs pending

Total subspaces with long chains of nowhere norming weak$^*$ sequential closures

Mikhail I. Ostrovskii

arxiv:math/9303206 v1 · 1993-03-29 · 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{MDJUYZQNBH5RCQJHC2Z7TSMVPX}

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	2026-05-18T04:41:16.644965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d34c660d09fb11412716b3f9c9957dc0a7bf2bfbc59a8e94de3c9dc0cfd7c5

Aliases

arxiv: math/9303206 · arxiv_version: math/9303206v1 · doi: 10.48550/arxiv.math/9303206 · pith_short_12: MDJUYZQNBH5R · pith_short_16: MDJUYZQNBH5RCQJH · pith_short_8: MDJUYZQN

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/MDJUYZQNBH5RCQJHC2Z7TSMVPX \
  | 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: 60d34c660d09fb11412716b3f9c9957dc0a7bf2bfbc59a8e94de3c9dc0cfd7c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2852bc7a809b5e6d06c48ce41f6d695f0de9c745fbfb08962d173b671c6c528",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1993-03-29T17:51:57Z",
    "title_canon_sha256": "f4752e35217373c4781970145a708db6927b9dd73107f54badf14f725efc2dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9303206",
    "kind": "arxiv",
    "version": 1
  }
}