Pith Number

pith:R7WO2WQA

pith:2011:R7WO2WQAK3NBGWWMKDI5QFZUBF

not attested not anchored not stored refs pending

Monochromatic 4-term arithmetic progressions in 2-colorings of $\mathbb Z_n$

Linyuan Lu, Xing Peng

arxiv:1107.2888 v1 · 2011-07-14 · 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{R7WO2WQAK3NBGWWMKDI5QFZUBF}

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	2026-05-18T04:18:15.554447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8feced5a0056da135acc50d1d81734095de0d564e3332d873078c5ff96d219db

Aliases

arxiv: 1107.2888 · arxiv_version: 1107.2888v1 · doi: 10.48550/arxiv.1107.2888 · pith_short_12: R7WO2WQAK3NB · pith_short_16: R7WO2WQAK3NBGWWM · pith_short_8: R7WO2WQA

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/R7WO2WQAK3NBGWWMKDI5QFZUBF \
  | 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: 8feced5a0056da135acc50d1d81734095de0d564e3332d873078c5ff96d219db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54756c4d66ff2c94e93cce28a51fcc757685b1503f08c183d4ae6627e529c640",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-14T18:34:54Z",
    "title_canon_sha256": "ff9bc6fdad5f1497f3fdc08ab39185454beb855c4c1b57fa3a0784e426417bdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2888",
    "kind": "arxiv",
    "version": 1
  }
}