Pith Number

pith:GPP5VNA2

pith:2018:GPP5VNA2XEL6R72YY3T6OCADVK

not attested not anchored not stored refs pending

Improved Bounds for Progression-Free Sets in $C_{8}^{n}$

Cosmin Pohoata, Fedor Petrov

arxiv:1805.05549 v1 · 2018-05-15 · 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{GPP5VNA2XEL6R72YY3T6OCADVK}

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	2026-05-18T00:16:00.239934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33dfdab41ab917e8ff58c6e7e70803aaa5d9715039d1157024624bd10da0976b

Aliases

arxiv: 1805.05549 · arxiv_version: 1805.05549v1 · doi: 10.48550/arxiv.1805.05549 · pith_short_12: GPP5VNA2XEL6 · pith_short_16: GPP5VNA2XEL6R72Y · pith_short_8: GPP5VNA2

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/GPP5VNA2XEL6R72YY3T6OCADVK \
  | 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: 33dfdab41ab917e8ff58c6e7e70803aaa5d9715039d1157024624bd10da0976b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb00fbcaf088a7eea202b60f75a487535710e979af1b5c52a2c2e807748ae844",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-15T03:39:48Z",
    "title_canon_sha256": "cbee965e3ed7564e891e18baaf21f6d7f6011febb8189a48f5bf51048aec07cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05549",
    "kind": "arxiv",
    "version": 1
  }
}