Pith Number

pith:B2R26Z32

pith:2022:B2R26Z32PDZAAH7DIKFLFPCNBJ

not attested not anchored not stored refs pending

Sufficient conditions for perfect mixed tilings

Eoin Hurley, Felix Joos, Richard Lang

arxiv:2201.03944 v3 · 2022-01-11 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2R26Z32PDZAAH7DIKFLFPCNBJ}

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	2026-07-05T09:24:29.743300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ea3af677a78f2001fe3428ab2bc4d0a64d4409197149adaf44c13e56c7a9e41

Aliases

arxiv: 2201.03944 · arxiv_version: 2201.03944v3 · doi: 10.48550/arxiv.2201.03944 · pith_short_12: B2R26Z32PDZA · pith_short_16: B2R26Z32PDZAAH7D · pith_short_8: B2R26Z32

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/B2R26Z32PDZAAH7DIKFLFPCNBJ \
  | 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: 0ea3af677a78f2001fe3428ab2bc4d0a64d4409197149adaf44c13e56c7a9e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d0901096e3bc41b383a32e4c0e74e08067b14659f9f5b623ddab95a1ea5192",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-01-11T13:39:43Z",
    "title_canon_sha256": "36e2d4fd025245cb19f88cf819622b2581cd96db77ac12710dfc8236ac983d2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.03944",
    "kind": "arxiv",
    "version": 3
  }
}