Pith Number

pith:4IWTCFET

pith:2025:4IWTCFETN7PW35RS7YOMZ6262J

not attested not anchored not stored refs pending

A reflection principle for nonintersecting paths and lozenge tilings with free boundaries

Seok Hyun Byun

arxiv:2508.12135 v1 · 2025-08-16 · 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{4IWTCFETN7PW35RS7YOMZ6262J}

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.

Cited by

1 paper in Pith

Additive Problems with Primes from a Thin Bohr Set

Receipt and verification

First computed	2026-07-05T11:55:00.676535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22d3114936fdf6df632fe1cccfb5ed25760328e471096559be28a70e5831908

Aliases

arxiv: 2508.12135 · arxiv_version: 2508.12135v1 · doi: 10.48550/arxiv.2508.12135 · pith_short_12: 4IWTCFETN7PW · pith_short_16: 4IWTCFETN7PW35RS · pith_short_8: 4IWTCFET

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/4IWTCFETN7PW35RS7YOMZ6262J \
  | 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: e22d3114936fdf6df632fe1cccfb5ed25760328e471096559be28a70e5831908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe5d110de6acbc51579e1b49bb40785850a8c940d423cf53199dd3e6198718c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-16T18:55:05Z",
    "title_canon_sha256": "755bfe235778ef49b164ed754ddf057903a495ad7ed4718cf8c5f098f87ace6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12135",
    "kind": "arxiv",
    "version": 1
  }
}