Pith Number

pith:UNJWSIBV

pith:2012:UNJWSIBVMZACN2PO7RK6W4XD7J

not attested not anchored not stored refs pending

Concentration of Measure Inequalities in Information Theory, Communications and Coding (Second Edition)

Igal Sason, Maxim Raginsky

arxiv:1212.4663 v8 · 2012-12-19 · cs.IT · math.IT · 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{UNJWSIBVMZACN2PO7RK6W4XD7J}

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	2026-05-18T02:26:18.987329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a353692035664026e9eefc55eb72e3fa604b83cdf014e6cb1c783c5f99ae825f

Aliases

arxiv: 1212.4663 · arxiv_version: 1212.4663v8 · doi: 10.48550/arxiv.1212.4663 · pith_short_12: UNJWSIBVMZAC · pith_short_16: UNJWSIBVMZACN2PO · pith_short_8: UNJWSIBV

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/UNJWSIBVMZACN2PO7RK6W4XD7J \
  | 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: a353692035664026e9eefc55eb72e3fa604b83cdf014e6cb1c783c5f99ae825f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afae4130a21ec25b1866621d084b3f2ef73c103a0c720a1fb83d2a23e5bea79f",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-19T14:11:00Z",
    "title_canon_sha256": "e3a7495117f6196b75c84fc1517e395c729f1d6eaf30cdfa60facfb9699fbf90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4663",
    "kind": "arxiv",
    "version": 8
  }
}