Pith Number

pith:NIMVQMEG

pith:2012:NIMVQMEGL7BZRW72TGV4XTETWZ

not attested not anchored not stored refs pending

Some new inequalities in additive combinatorics

I. D. Shkredov

arxiv:1208.2344 v3 · 2012-08-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIMVQMEGL7BZRW72TGV4XTETWZ}

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	2026-05-18T03:41:29.075136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a195830865fc398dbfa99abcbcc93b6461bacd27c74cb5a9d42901d8dc95e02

Aliases

arxiv: 1208.2344 · arxiv_version: 1208.2344v3 · doi: 10.48550/arxiv.1208.2344 · pith_short_12: NIMVQMEGL7BZ · pith_short_16: NIMVQMEGL7BZRW72 · pith_short_8: NIMVQMEG

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/NIMVQMEGL7BZRW72TGV4XTETWZ \
  | 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: 6a195830865fc398dbfa99abcbcc93b6461bacd27c74cb5a9d42901d8dc95e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f2a882b65c09e595a0cf9e2ac6837e9888f4e2f3016bc9cfaad4fccd8f58989",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-11T13:51:20Z",
    "title_canon_sha256": "437a7c855d98d92b0fdc81cbf71a16fe23c030c4b388a8af96a3eeaf7b3729e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2344",
    "kind": "arxiv",
    "version": 3
  }
}