Pith Number

pith:6NTGA4GC

pith:2024:6NTGA4GC6YMQGAAJ6WDJRGYTXM

not attested not anchored not stored refs pending

An upper bound on the per-tile entropy of ribbon tilings

Simon Blackburn, Vladislav Kargin, Yinsong Chen

arxiv:2408.09272 v2 · 2024-08-17 · 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{6NTGA4GC6YMQGAAJ6WDJRGYTXM}

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	2026-07-05T09:45:13.469958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3666070c2f619030009f586989b13bb08e9adf4e791f730a9dadf53b2d7936e

Aliases

arxiv: 2408.09272 · arxiv_version: 2408.09272v2 · doi: 10.48550/arxiv.2408.09272 · pith_short_12: 6NTGA4GC6YMQ · pith_short_16: 6NTGA4GC6YMQGAAJ · pith_short_8: 6NTGA4GC

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/6NTGA4GC6YMQGAAJ6WDJRGYTXM \
  | 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: f3666070c2f619030009f586989b13bb08e9adf4e791f730a9dadf53b2d7936e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20717d8b44c9992de2ff0da86ec797efa79e563d976d8ef53cdbcdf9f4426fa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-17T19:00:40Z",
    "title_canon_sha256": "1bac5062a1060689daa537422bc9c156c425dc47b1ec2b86049dbb91155e9f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.09272",
    "kind": "arxiv",
    "version": 2
  }
}