Pith Number

pith:6HJHOOZJ

pith:2017:6HJHOOZJSJ2QV24I7HE2S5LNIF

not attested not anchored not stored refs pending

The Width of Downsets

David Howard, Dwight Duffus, Imre Leader

arxiv:1710.05714 v2 · 2017-10-16 · 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{6HJHOOZJSJ2QV24I7HE2S5LNIF}

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	2026-05-17T23:56:25.248061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1d2773b2992750aeb88f9c9a9756d4177c7229bdcf3ddaed6b81d23941132f0

Aliases

arxiv: 1710.05714 · arxiv_version: 1710.05714v2 · doi: 10.48550/arxiv.1710.05714 · pith_short_12: 6HJHOOZJSJ2Q · pith_short_16: 6HJHOOZJSJ2QV24I · pith_short_8: 6HJHOOZJ

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/6HJHOOZJSJ2QV24I7HE2S5LNIF \
  | 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: f1d2773b2992750aeb88f9c9a9756d4177c7229bdcf3ddaed6b81d23941132f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "118a8cb4f9b8940a4eec5caf6ad5267056b37b4d460162c9ae0abc68a99c8efd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-16T14:16:28Z",
    "title_canon_sha256": "ddbc08e39cb250a1c5966f19edc1cb3146317753d51625c575a8b94f1d3caedf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05714",
    "kind": "arxiv",
    "version": 2
  }
}