Pith Number

pith:7T2T7R2N

pith:1997:7T2T7R2NRHUQUOTIABBE5Q7ZCM

not attested not anchored not stored refs pending

On asymptotic properties of Banach spaces under renormings

Edward Odell, Thomas Schlumprecht

arxiv:math/9709217 v1 · 1997-09-18 · 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{7T2T7R2NRHUQUOTIABBE5Q7ZCM}

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	2026-05-18T01:05:34.825081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcf53fc74d89e90a3a6800424ec3f913055434cc954c5863e7b813adf4efcdb7

Aliases

arxiv: math/9709217 · arxiv_version: math/9709217v1 · doi: 10.48550/arxiv.math/9709217 · pith_short_12: 7T2T7R2NRHUQ · pith_short_16: 7T2T7R2NRHUQUOTI · pith_short_8: 7T2T7R2N

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/7T2T7R2NRHUQUOTIABBE5Q7ZCM \
  | 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: fcf53fc74d89e90a3a6800424ec3f913055434cc954c5863e7b813adf4efcdb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f00eb611b99005a0c65e250f2a688c2391df11e3076a04abcbc0a047ba668cc3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1997-09-18T00:00:00Z",
    "title_canon_sha256": "d2c6b250cd0a91afae30f756cfc3e8119a011f353b865f7814888c2c72e3f659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9709217",
    "kind": "arxiv",
    "version": 1
  }
}