Pith Number

pith:MQIQ3SJ4

pith:2016:MQIQ3SJ4EHS3KGSALWXEHNT3XO

not attested not anchored not stored refs pending

Swing lattice game and a short proof of the swing lemma for planar semimodular lattices

G\'abor Cz\'edli, G\'eza Makay

arxiv:1607.06809 v1 · 2016-07-22 · 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{MQIQ3SJ4EHS3KGSALWXEHNT3XO}

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	2026-05-18T01:10:35.669247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64110dc93c21e5b51a405dae43b67bbb892208f25b1d0716331d14ea82db4305

Aliases

arxiv: 1607.06809 · arxiv_version: 1607.06809v1 · doi: 10.48550/arxiv.1607.06809 · pith_short_12: MQIQ3SJ4EHS3 · pith_short_16: MQIQ3SJ4EHS3KGSA · pith_short_8: MQIQ3SJ4

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/MQIQ3SJ4EHS3KGSALWXEHNT3XO \
  | 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: 64110dc93c21e5b51a405dae43b67bbb892208f25b1d0716331d14ea82db4305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83d597f9d40caf9b1c7f9a30c5c94a59f27aec1de4bd82afebdf251bbaeba80f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-22T19:05:05Z",
    "title_canon_sha256": "1923ed79affabc4e977e06762ef6d4814bd123dcc0ab38478aa0b2e2aeb4bba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06809",
    "kind": "arxiv",
    "version": 1
  }
}