Pith Number

pith:FILJTZS2

pith:2016:FILJTZS2GHODYGRJMDMPE2RDZN

not attested not anchored not stored refs pending

Upper Bounds for the Number of Solutions to Spatially Coupled Sudokus

Kazushi Mimura, Tadahiro Kitazono

arxiv:1608.00952 v1 · 2016-08-01 · 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{FILJTZS2GHODYGRJMDMPE2RDZN}

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	2026-05-18T01:10:00.411188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a1699e65a31dc3c1a2960d8f26a23cb6f9d5636e309f2d5cab6b061b4e9edb7

Aliases

arxiv: 1608.00952 · arxiv_version: 1608.00952v1 · doi: 10.48550/arxiv.1608.00952 · pith_short_12: FILJTZS2GHOD · pith_short_16: FILJTZS2GHODYGRJ · pith_short_8: FILJTZS2

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/FILJTZS2GHODYGRJMDMPE2RDZN \
  | 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: 2a1699e65a31dc3c1a2960d8f26a23cb6f9d5636e309f2d5cab6b061b4e9edb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8e191fdd7a1d34d5663c22dd943e64631f6a6393fa8a5ff48187afb2cb1dfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-01T12:42:48Z",
    "title_canon_sha256": "2929a6bbb0fdbb0c3b6c246c830158a4c2f8eb76a3329c1adb198c60994d0252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00952",
    "kind": "arxiv",
    "version": 1
  }
}