Pith Number

pith:SCCZGN2D

pith:2019:SCCZGN2DPKA2CRLC6OA2CY5MTN

not attested not anchored not stored refs pending

Independent arithmetic progressions

Benny Sudakov, David Conlon, Jacob Fox

arxiv:1901.05084 v1 · 2019-01-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SCCZGN2DPKA2CRLC6OA2CY5MTN}

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	2026-05-17T23:56:11.980930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90859337437a81a14562f381a163ac9b6b9b2c8261681eb120403129b07f55b6

Aliases

arxiv: 1901.05084 · arxiv_version: 1901.05084v1 · doi: 10.48550/arxiv.1901.05084 · pith_short_12: SCCZGN2DPKA2 · pith_short_16: SCCZGN2DPKA2CRLC · pith_short_8: SCCZGN2D

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/SCCZGN2DPKA2CRLC6OA2CY5MTN \
  | 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: 90859337437a81a14562f381a163ac9b6b9b2c8261681eb120403129b07f55b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7f8e7948b252274d24238c27b16bc3ef97dfbd804aab8be7717ed16ca6f573",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-15T23:12:59Z",
    "title_canon_sha256": "e94a2bb59e8d71a17e0ed2123f88e61297b0cb8166822cfe48fd9a6b4f35de32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05084",
    "kind": "arxiv",
    "version": 1
  }
}