Pith Number

pith:XNN4ZVEN

pith:2016:XNN4ZVEN4Z462VLGLJNDRYJGPK

not attested not anchored not stored refs pending

A general Darling-Erd\"os theorem in Euclidean space

Gauthier Dierickx, Uwe Einmahl

arxiv:1608.04549 v2 · 2016-08-16 · 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{XNN4ZVEN4Z462VLGLJNDRYJGPK}

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	2026-05-18T00:56:04.114583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb5bccd48de679ed55665a5a38e1267aab4bd59e12d6d5a38fa347db1bd85b49

Aliases

arxiv: 1608.04549 · arxiv_version: 1608.04549v2 · doi: 10.48550/arxiv.1608.04549 · pith_short_12: XNN4ZVEN4Z46 · pith_short_16: XNN4ZVEN4Z462VLG · pith_short_8: XNN4ZVEN

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/XNN4ZVEN4Z462VLGLJNDRYJGPK \
  | 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: bb5bccd48de679ed55665a5a38e1267aab4bd59e12d6d5a38fa347db1bd85b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e44b19ee2446b03ca6a5f87d6e86262d4a9958f81b1362a635fcde3087d2e9a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-16T11:13:00Z",
    "title_canon_sha256": "8ed4639258277abf7cdcea277e6a577507dded939919eed0478de66a967ed046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04549",
    "kind": "arxiv",
    "version": 2
  }
}