Pith Number

pith:FPUZ3UMQ

pith:2016:FPUZ3UMQF6XN3ZCTEEWKCWFWJZ

not attested not anchored not stored refs pending

$\xi$-asymptotically uniformly smooth, $\xi$-asymptotically uniformly convex, and $(\beta)$ operators

Ryan M. Causey, Stephen J. Dilworth

arxiv:1607.01362 v1 · 2016-07-05 · 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{FPUZ3UMQF6XN3ZCTEEWKCWFWJZ}

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	2026-05-18T01:11:28.009755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2be99dd1902faedde453212ca158b64e5c8a327edaee4cb90c72f51c9a6f31c1

Aliases

arxiv: 1607.01362 · arxiv_version: 1607.01362v1 · doi: 10.48550/arxiv.1607.01362 · pith_short_12: FPUZ3UMQF6XN · pith_short_16: FPUZ3UMQF6XN3ZCT · pith_short_8: FPUZ3UMQ

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/FPUZ3UMQF6XN3ZCTEEWKCWFWJZ \
  | 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: 2be99dd1902faedde453212ca158b64e5c8a327edaee4cb90c72f51c9a6f31c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3cf8313191c23c4c4eebcd9121ba9f6f65d0c1af0a49cdf9d4fde749b4453f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-05T18:36:32Z",
    "title_canon_sha256": "623b95f6c5010c5dfe6ca4385ca18e9091d51607ef93a078b29a37fa821e01e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01362",
    "kind": "arxiv",
    "version": 1
  }
}