Pith Number

pith:IBJVR4UW

pith:2012:IBJVR4UWAINKDSVNLAKN7WL6UD

not attested not anchored not stored refs pending

A Banach rearrangement norm characterization for tail behavior of measurable functions (random variables)

E.Ostrovsky, L.Sirota

arxiv:1210.1168 v1 · 2012-10-03 · math.FA · 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{IBJVR4UWAINKDSVNLAKN7WL6UD}

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	2026-05-18T03:44:05.342700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405358f296021aa1caad5814dfd97ea0e1d39bd9f39d9a5347b948478ab20778

Aliases

arxiv: 1210.1168 · arxiv_version: 1210.1168v1 · doi: 10.48550/arxiv.1210.1168 · pith_short_12: IBJVR4UWAINK · pith_short_16: IBJVR4UWAINKDSVN · pith_short_8: IBJVR4UW

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/IBJVR4UWAINKDSVNLAKN7WL6UD \
  | 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: 405358f296021aa1caad5814dfd97ea0e1d39bd9f39d9a5347b948478ab20778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63eab3ef3c28fb8f04f286126a102053f5d7ce2c26181581e61b33c18efe41b2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-03T16:41:12Z",
    "title_canon_sha256": "2881cd33dfb72c66c4523ab50bc6f855fbc26caa6f990bbb55dab40bf7eba399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1168",
    "kind": "arxiv",
    "version": 1
  }
}