Pith Number

pith:FVTCVKYM

pith:2017:FVTCVKYMDJ4UFVFTGRK34CE5LI

not attested not anchored not stored refs pending

On the distribution of monochromatic complete subgraphs and arithmetic progressions

Aaron Robertson, Maria Dascalu, William Cipolli

arxiv:1709.07298 v2 · 2017-09-21 · 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{FVTCVKYMDJ4UFVFTGRK34CE5LI}

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	2026-05-18T00:25:39.149309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d662aab0c1a7942d4b33455be089d5a25bd8d39339daaeaf99d361a69f7edec

Aliases

arxiv: 1709.07298 · arxiv_version: 1709.07298v2 · doi: 10.48550/arxiv.1709.07298 · pith_short_12: FVTCVKYMDJ4U · pith_short_16: FVTCVKYMDJ4UFVFT · pith_short_8: FVTCVKYM

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/FVTCVKYMDJ4UFVFTGRK34CE5LI \
  | 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: 2d662aab0c1a7942d4b33455be089d5a25bd8d39339daaeaf99d361a69f7edec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "977b910c227836058c824fceb9f9fa40b2843e088dad92302114361500cd5015",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-21T13:09:42Z",
    "title_canon_sha256": "1c1535ba674a87b1010bcb7da309e6d27957d55eb229de31db2afdfc7bef49af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07298",
    "kind": "arxiv",
    "version": 2
  }
}