Pith Number

pith:DVSBDCNR

pith:2012:DVSBDCNRRHKQZRAQVX6R663RDF

not attested not anchored not stored refs pending

Tightened Exponential Bounds for Discrete Time, Conditionally Symmetric Martingales with Bounded Jumps

Igal Sason

arxiv:1201.0533 v9 · 2012-01-02 · math.PR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVSBDCNRRHKQZRAQVX6R663RDF}

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	2026-05-18T03:26:42.924435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d641189b189d50cc410adfd1f7b7119530ab8aa9dbd28cbbc8e20189859f9c4

Aliases

arxiv: 1201.0533 · arxiv_version: 1201.0533v9 · doi: 10.48550/arxiv.1201.0533 · pith_short_12: DVSBDCNRRHKQ · pith_short_16: DVSBDCNRRHKQZRAQ · pith_short_8: DVSBDCNR

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/DVSBDCNRRHKQZRAQVX6R663RDF \
  | 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: 1d641189b189d50cc410adfd1f7b7119530ab8aa9dbd28cbbc8e20189859f9c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac33dfcdfb8445c08df1733710f35b8b132319624205e301e0e1bd6d75df0884",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-02T21:04:15Z",
    "title_canon_sha256": "617d9b6651399ad632fe6836b93bdd241122d2f024f3e94a696015a52630f868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0533",
    "kind": "arxiv",
    "version": 9
  }
}