Pith Number

pith:75JTXOUD

pith:1992:75JTXOUD53CGD55H4MSDKI2XAC

not attested not anchored not stored refs pending

On Weakly Null FDD's in Banach Spaces

Edward Odell, Haskell P. Rosenthal, Thomas Schlumprecht

arxiv:math/9207207 v1 · 1992-07-21 · 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{75JTXOUD53CGD55H4MSDKI2XAC}

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	2026-05-18T01:05:52.737015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff533bba83eec461f7a7e3243523570096269860379db2551a7fb52399d4e1dc

Aliases

arxiv: math/9207207 · arxiv_version: math/9207207v1 · doi: 10.48550/arxiv.math/9207207 · pith_short_12: 75JTXOUD53CG · pith_short_16: 75JTXOUD53CGD55H · pith_short_8: 75JTXOUD

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/75JTXOUD53CGD55H4MSDKI2XAC \
  | 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: ff533bba83eec461f7a7e3243523570096269860379db2551a7fb52399d4e1dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30243733878bd0a78fe4171f33403ac79429e6fb660f1fcee0b9c5b5d18a9f8c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1992-07-21T18:55:45Z",
    "title_canon_sha256": "e9d0ce8869d732ecd2e67819ca17a3f78aedfc946130d95f39bae562d2c6d619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9207207",
    "kind": "arxiv",
    "version": 1
  }
}