Pith Number

pith:OZD4ZQ5D

pith:2014:OZD4ZQ5DUQYRLBKIEIGY5SRC3U

not attested not anchored not stored refs pending

Quantitative stability for sumsets in $R^n$

Alessio Figalli, David Jerison

arxiv:1412.7586 v1 · 2014-12-24 · math.NT · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZD4ZQ5DUQYRLBKIEIGY5SRC3U}

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	2026-05-18T02:30:33.463239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7647ccc3a3a431158548220d8eca22dd254dcbf1361c081ff18dfb9147168f06

Aliases

arxiv: 1412.7586 · arxiv_version: 1412.7586v1 · doi: 10.48550/arxiv.1412.7586 · pith_short_12: OZD4ZQ5DUQYR · pith_short_16: OZD4ZQ5DUQYRLBKI · pith_short_8: OZD4ZQ5D

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/OZD4ZQ5DUQYRLBKIEIGY5SRC3U \
  | 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: 7647ccc3a3a431158548220d8eca22dd254dcbf1361c081ff18dfb9147168f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cf0899cb2a3158974592717c60ccf26ea557b5f6f2d3d4c0ca8d0ef1e6791ae",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-24T02:30:16Z",
    "title_canon_sha256": "7ce66d551c5cbffc080d9eed5b1a8571e85c3d43afb4c866560b9a68bd5d07c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7586",
    "kind": "arxiv",
    "version": 1
  }
}