Pith Number

pith:FQ34ICLU

pith:2017:FQ34ICLU55MBUAB76JUMFICJPP

not attested not anchored not stored refs pending

Containment problem and combinatorics

Halszka Tutaj-Gasi\'nska, Jakub Kabat, {\L}ucja Farnik, Magdalena Lampa-Baczy\'nska

arxiv:1710.06380 v1 · 2017-10-17 · math.AG · 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{FQ34ICLU55MBUAB76JUMFICJPP}

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	2026-05-18T00:32:36.925022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c37c40974ef581a003ff268c2a0497bd40452d983b57d04d9ef9f374bee10da

Aliases

arxiv: 1710.06380 · arxiv_version: 1710.06380v1 · doi: 10.48550/arxiv.1710.06380 · pith_short_12: FQ34ICLU55MB · pith_short_16: FQ34ICLU55MBUAB7 · pith_short_8: FQ34ICLU

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/FQ34ICLU55MBUAB76JUMFICJPP \
  | 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: 2c37c40974ef581a003ff268c2a0497bd40452d983b57d04d9ef9f374bee10da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a3da02d0ff7365c4e6a1c63f81c5d841883e7cffd959e89736c2a151666c138",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-17T16:49:12Z",
    "title_canon_sha256": "6184e45899b3198606ab94b3f616df68043f93cf159675e8866deb4fe9ca60fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06380",
    "kind": "arxiv",
    "version": 1
  }
}