Pith Number

pith:ETMYOS7M

pith:2024:ETMYOS7MLM2COSK4VAVRD6XTHJ

not attested not anchored not stored refs pending

Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields

Christian Elsholtz, Laura Proske, Lisa Sauermann, Zach Hunter

arxiv:2406.12290 v1 · 2024-06-18 · math.NT · math.CO

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\usepackage{pith}
\pithnumber{ETMYOS7MLM2COSK4VAVRD6XTHJ}

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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.

Cited by

5 papers in Pith

Large Sets of Integers with No Harmonic Triples

Beating Product Constructions for Linear Equations Over Finite Fields

Three-color van der Waerden numbers grow super-exponentially

A superlinear improvement on line-free sets in $\mathbb{F}_p^3$

On the Furstenberg-Katznelson constant for the IP Szemeredi theorem over finite fields

Receipt and verification

First computed	2026-07-05T08:33:43.747859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d9874bec5b3427495ca82b11faf33a5d7ecebdb960ef0785b6f3df45169cdd

Aliases

arxiv: 2406.12290 · arxiv_version: 2406.12290v1 · doi: 10.48550/arxiv.2406.12290 · pith_short_12: ETMYOS7MLM2C · pith_short_16: ETMYOS7MLM2COSK4 · pith_short_8: ETMYOS7M

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/ETMYOS7MLM2COSK4VAVRD6XTHJ \
  | 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: 24d9874bec5b3427495ca82b11faf33a5d7ecebdb960ef0785b6f3df45169cdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c421b86dad768b4b14472d6cac738efb60768f94937e2e5723fd352e5703cd0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-06-18T05:53:09Z",
    "title_canon_sha256": "b9054278254cca6fd664a01ad88a0cb1b41f2557a1cbbb27dc8b3136b06a7088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.12290",
    "kind": "arxiv",
    "version": 1
  }
}