Pith Number

pith:L3XVKBJD

pith:2017:L3XVKBJDKYJNMYRJQNBDBHD3DN

not attested not anchored not stored refs pending

Convex sequences may have thin additive bases

Dmitrii Zhelezov, Imre Z. Ruzsa

arxiv:1708.04901 v1 · 2017-08-16 · 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{L3XVKBJDKYJNMYRJQNBDBHD3DN}

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	2026-05-18T00:07:38.063525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eef5505235612d662298342309c7b1b61c44ea83d4f2fe17c7b361534d49152

Aliases

arxiv: 1708.04901 · arxiv_version: 1708.04901v1 · doi: 10.48550/arxiv.1708.04901 · pith_short_12: L3XVKBJDKYJN · pith_short_16: L3XVKBJDKYJNMYRJ · pith_short_8: L3XVKBJD

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/L3XVKBJDKYJNMYRJQNBDBHD3DN \
  | 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: 5eef5505235612d662298342309c7b1b61c44ea83d4f2fe17c7b361534d49152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47bfa9879845986869365d7548c4d3c850344723ebf9139cbafc434ce43e30be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-16T14:11:15Z",
    "title_canon_sha256": "991a4f49d6a0c1492725d15a23ab512774ad5f77be1ba4ab0df8fc617f3d03f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04901",
    "kind": "arxiv",
    "version": 1
  }
}