Pith Number

pith:IRMB42T7

pith:2016:IRMB42T7O52KWMSEFWNYU34CNS

not attested not anchored not stored refs pending

On McDiarmid's inequality for Hamming distance

Xiequan Fan

arxiv:1611.03990 v1 · 2016-11-12 · 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{IRMB42T7O52KWMSEFWNYU34CNS}

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	2026-05-18T00:59:17.914560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44581e6a7f7774ab32442d9b8a6f826cae8ec3f8636a477ba5f11552250e90fb

Aliases

arxiv: 1611.03990 · arxiv_version: 1611.03990v1 · doi: 10.48550/arxiv.1611.03990 · pith_short_12: IRMB42T7O52K · pith_short_16: IRMB42T7O52KWMSE · pith_short_8: IRMB42T7

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/IRMB42T7O52KWMSEFWNYU34CNS \
  | 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: 44581e6a7f7774ab32442d9b8a6f826cae8ec3f8636a477ba5f11552250e90fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6993adfccf9224fbb673d6dd7dcb7cd8e7a2de7c2272bd54dbfaf4ad78978c8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-12T11:38:29Z",
    "title_canon_sha256": "793a579be8d482ebad0e82ec3a9c5be743eee8102e70e9b778fdbeee10ecd76e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03990",
    "kind": "arxiv",
    "version": 1
  }
}