Pith Number

pith:6VYWUWTD

pith:2016:6VYWUWTD5KJC7FSWWNRDXTZZBK

not attested not anchored not stored refs pending

A remark on A+B and A-A for compact sets in R^n

Ilya D. Shkredov, Tomasz Schoen

arxiv:1605.07170 v1 · 2016-05-23 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VYWUWTD5KJC7FSWWNRDXTZZBK}

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	2026-05-18T01:13:46.690547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5716a5a63ea922f9656b3623bcf390abc42117829d98343239d9812ae3adbec

Aliases

arxiv: 1605.07170 · arxiv_version: 1605.07170v1 · doi: 10.48550/arxiv.1605.07170 · pith_short_12: 6VYWUWTD5KJC · pith_short_16: 6VYWUWTD5KJC7FSW · pith_short_8: 6VYWUWTD

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/6VYWUWTD5KJC7FSWWNRDXTZZBK \
  | 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: f5716a5a63ea922f9656b3623bcf390abc42117829d98343239d9812ae3adbec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad72d16b7e54a36e1958d3d0aa9111ab208635b4725f53f618a6220d4d06f7cd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-23T06:26:39Z",
    "title_canon_sha256": "3c35c847cd722058c7da6c9be1513989c491056f34529958ab140f08805e53c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07170",
    "kind": "arxiv",
    "version": 1
  }
}