Pith Number

pith:IVKMBXGZ

pith:2016:IVKMBXGZK3HSZGBSKUM2SEL4ZM

not attested not anchored not stored refs pending

Small sumsets in real line : a continuous 3k-4 theorem

Anne de Roton

arxiv:1605.04597 v1 · 2016-05-15 · 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{IVKMBXGZK3HSZGBSKUM2SEL4ZM}

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	2026-05-18T01:14:46.756407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4554c0dcd956cf2c98325519a9117ccb2d57b00f59326f29c45aebebc46b17d8

Aliases

arxiv: 1605.04597 · arxiv_version: 1605.04597v1 · doi: 10.48550/arxiv.1605.04597 · pith_short_12: IVKMBXGZK3HS · pith_short_16: IVKMBXGZK3HSZGBS · pith_short_8: IVKMBXGZ

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/IVKMBXGZK3HSZGBSKUM2SEL4ZM \
  | 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: 4554c0dcd956cf2c98325519a9117ccb2d57b00f59326f29c45aebebc46b17d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "760be2e4070c72e657f5ac53e89e3a2472a89412aad787f88e2a435f35b16af7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-15T19:25:27Z",
    "title_canon_sha256": "6b3a0e0485b5276b487d0a8f95be9d41759f8f90ac6619748e42e7d9f8fa346d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04597",
    "kind": "arxiv",
    "version": 1
  }
}