Pith Number

pith:SJXE6YLD

pith:2015:SJXE6YLDNNAZ7VDVWUL7GO3FKB

not attested not anchored not stored refs pending

Noncommutative martingale inequalities associated with convex functions

Turdebek N. Bekjan, Zeqian Chen

arxiv:1509.05242 v1 · 2015-09-17 · math.OA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJXE6YLDNNAZ7VDVWUL7GO3FKB}

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	2026-05-18T01:32:49.522424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

926e4f61636b419fd475b517f33b65505da601814a48ad0f76b0f46973829bfd

Aliases

arxiv: 1509.05242 · arxiv_version: 1509.05242v1 · doi: 10.48550/arxiv.1509.05242 · pith_short_12: SJXE6YLDNNAZ · pith_short_16: SJXE6YLDNNAZ7VDV · pith_short_8: SJXE6YLD

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/SJXE6YLDNNAZ7VDVWUL7GO3FKB \
  | 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: 926e4f61636b419fd475b517f33b65505da601814a48ad0f76b0f46973829bfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23c0406879be68602023e57a8d0b25c9c4cce10100944b158969df71780f111c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-09-17T13:10:45Z",
    "title_canon_sha256": "956cc1fe687b16e3ea33a4b24c77aeea0c948b1d4b46644e4583f5f2743f0746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05242",
    "kind": "arxiv",
    "version": 1
  }
}