Pith Number

pith:GX3KZNYK

pith:2015:GX3KZNYKTUGVES2BV5GEZZZ6MM

not attested not anchored not stored refs pending

Inverse Littlewood-Offord problems for Quasi-Norms

Ohad Giladi, Olivier Gu\'edon, Omer Friedland

arxiv:1510.03937 v1 · 2015-10-14 · 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{GX3KZNYKTUGVES2BV5GEZZZ6MM}

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	2026-05-18T01:30:09.739416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35f6acb70a9d0d524b41af4c4ce73e6305c5593aa84da378a75def928a2c932c

Aliases

arxiv: 1510.03937 · arxiv_version: 1510.03937v1 · doi: 10.48550/arxiv.1510.03937 · pith_short_12: GX3KZNYKTUGV · pith_short_16: GX3KZNYKTUGVES2B · pith_short_8: GX3KZNYK

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/GX3KZNYKTUGVES2BV5GEZZZ6MM \
  | 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: 35f6acb70a9d0d524b41af4c4ce73e6305c5593aa84da378a75def928a2c932c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9afae8c1342b088dbce3d0fe1d8a6149e70104264dbab0e085930f42bb9a600",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-14T00:33:25Z",
    "title_canon_sha256": "b520bc354e42b1e168b06f1f44101c4db2024a33edb903ac3c1684e707d92368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03937",
    "kind": "arxiv",
    "version": 1
  }
}