Pith Number

pith:LYKFZBEQ

pith:2017:LYKFZBEQQ4C2Z2LL7LH5ZCM7DU

not attested not anchored not stored refs pending

Braces and symmetric groups with special conditions

Agata Smoktunowicz, Ferran Ced\'o, Tatiana Gateva-Ivanova

arxiv:1703.08766 v1 · 2017-03-26 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYKFZBEQQ4C2Z2LL7LH5ZCM7DU}

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	2026-05-18T00:47:55.621797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e145c84908705ace96bfacfdc899f1d34b567b9a178e73fbc7b359a335647b6

Aliases

arxiv: 1703.08766 · arxiv_version: 1703.08766v1 · doi: 10.48550/arxiv.1703.08766 · pith_short_12: LYKFZBEQQ4C2 · pith_short_16: LYKFZBEQQ4C2Z2LL · pith_short_8: LYKFZBEQ

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/LYKFZBEQQ4C2Z2LL7LH5ZCM7DU \
  | 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: 5e145c84908705ace96bfacfdc899f1d34b567b9a178e73fbc7b359a335647b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e179d65ba45ae48cd843d000fa645ffcce647d2ac7b72d61dada1dbd79f0ca48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-03-26T04:32:28Z",
    "title_canon_sha256": "360746399c3d0f351885d5fb7d360d1bea775d5108af1e15d82073dd805db9d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08766",
    "kind": "arxiv",
    "version": 1
  }
}