Pith Number

pith:3I6QSTAH

pith:1993:3I6QSTAHRLTZERYEE2JGEKFYLN

not attested not anchored not stored refs pending

Property $(M)$, $M$-ideals, and almost isometric structure of Banach spaces

Dirk Werner, Nigel J. Kalton

arxiv:math/9310216 v1 · 1993-10-11 · 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{3I6QSTAHRLTZERYEE2JGEKFYLN}

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	2026-05-18T01:05:51.866733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3d094c078ae792470426926228b85b47b33ab852917b51777a729c70d4bb6f

Aliases

arxiv: math/9310216 · arxiv_version: math/9310216v1 · doi: 10.48550/arxiv.math/9310216 · pith_short_12: 3I6QSTAHRLTZ · pith_short_16: 3I6QSTAHRLTZERYE · pith_short_8: 3I6QSTAH

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/3I6QSTAHRLTZERYEE2JGEKFYLN \
  | 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: da3d094c078ae792470426926228b85b47b33ab852917b51777a729c70d4bb6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "342016d558b356104df025561700516f4a7d903adb5a1257945e40b7daa4ac70",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1993-10-11T16:36:25Z",
    "title_canon_sha256": "820330b17c4b3fb0da327bb3c4505191ee899534cbda83800fa4a18331818756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9310216",
    "kind": "arxiv",
    "version": 1
  }
}