Pith Number

pith:BQ5OH4J4

pith:1996:BQ5OH4J4NREVLMIX2RSABAQDYE

not attested not anchored not stored refs pending

Concerning the Bourgain $ell_1$ index of a Banach space

Edward Odell, Robert Judd

arxiv:math/9606209 v1 · 1996-06-05 · 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{BQ5OH4J4NREVLMIX2RSABAQDYE}

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	2026-05-18T01:05:47.336501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c3ae3f13c6c4955b117d464008203c1024217d4d1b659ab2b54e1595eeb9929

Aliases

arxiv: math/9606209 · arxiv_version: math/9606209v1 · doi: 10.48550/arxiv.math/9606209 · pith_short_12: BQ5OH4J4NREV · pith_short_16: BQ5OH4J4NREVLMIX · pith_short_8: BQ5OH4J4

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/BQ5OH4J4NREVLMIX2RSABAQDYE \
  | 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: 0c3ae3f13c6c4955b117d464008203c1024217d4d1b659ab2b54e1595eeb9929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3840d5c6f0975b941c54c4939d81f5ba6ede5f501cba22be27ca6618557e14d7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1996-06-05T00:00:00Z",
    "title_canon_sha256": "7541dc3f66f30e2dd33eede108d649dd866bec6e09ac9966bab0f9e0cf66e5a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9606209",
    "kind": "arxiv",
    "version": 1
  }
}