Pith Number

pith:EPQ5RGBI

pith:2018:EPQ5RGBILWFM4ONI3MVFNRW2OH

not attested not anchored not stored refs pending

Sets with distinct sums of pairs, long arithmetic progressions, and continuous mappings

Vladimir Lebedev

arxiv:1805.02254 v2 · 2018-05-06 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPQ5RGBILWFM4ONI3MVFNRW2OH}

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	2026-05-18T00:05:31.268463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23e1d898285d8ace39a8db2a56c6da71c2cee89380683149fb739f4f52096255

Aliases

arxiv: 1805.02254 · arxiv_version: 1805.02254v2 · doi: 10.48550/arxiv.1805.02254 · pith_short_12: EPQ5RGBILWFM · pith_short_16: EPQ5RGBILWFM4ONI · pith_short_8: EPQ5RGBI

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/EPQ5RGBILWFM4ONI3MVFNRW2OH \
  | 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: 23e1d898285d8ace39a8db2a56c6da71c2cee89380683149fb739f4f52096255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b031c7ae4e2baa7be07e47b69cee557bfa71853113d287001595f3971a85a26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-06T17:58:55Z",
    "title_canon_sha256": "8c65473a68c42e3c67ae29d7e27efca590d22797f8f1a72d9f5a44076ad07d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02254",
    "kind": "arxiv",
    "version": 2
  }
}