Pith Number

pith:CLASPPAX

pith:2017:CLASPPAXMYB47FIRUGWH6UWIPG

not attested not anchored not stored refs pending

Dimensions of sets which uniformly avoid arithmetic progressions

Han Yu, Jonathan M. Fraser, Kota Saito

arxiv:1705.03335 v1 · 2017-05-09 · math.CA · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLASPPAXMYB47FIRUGWH6UWIPG}

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	2026-07-05T02:26:09.688121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12c127bc176603cf9511a1ac7f52c879bc41a57b8db67344498b9f39b457694a

Aliases

arxiv: 1705.03335 · arxiv_version: 1705.03335v1 · doi: 10.48550/arxiv.1705.03335 · pith_short_12: CLASPPAXMYB4 · pith_short_16: CLASPPAXMYB47FIR · pith_short_8: CLASPPAX

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/CLASPPAXMYB47FIRUGWH6UWIPG \
  | 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: 12c127bc176603cf9511a1ac7f52c879bc41a57b8db67344498b9f39b457694a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "360ec0df3411011ad62c087321a1d5c5f310b7c3b25f3668654d0d275b531abf",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-09T13:56:04Z",
    "title_canon_sha256": "ed725c6dbeead17aa2c5d1f3aeadca58c371f451c35fee8b885bebf4389edde9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03335",
    "kind": "arxiv",
    "version": 1
  }
}