Pith Number

pith:JWJYDPJG

pith:2026:JWJYDPJG75BPQVT2TVYYQBEIWB

not attested not anchored not stored refs pending

The 1/3-phenomenon of placement probabilities of tilings in the semiregular hexagon

Marcus Sch\"onfelder

arxiv:2607.10449 v1 · 2026-07-11 · 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{JWJYDPJG75BPQVT2TVYYQBEIWB}

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	2026-07-14T01:21:16.339277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d9381bd26ff42f8567a9d71880488b07fcb0916812ff320f41430c05d5821e1

Aliases

arxiv: 2607.10449 · arxiv_version: 2607.10449v1 · doi: 10.48550/arxiv.2607.10449 · pith_short_12: JWJYDPJG75BP · pith_short_16: JWJYDPJG75BPQVT2 · pith_short_8: JWJYDPJG

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/JWJYDPJG75BPQVT2TVYYQBEIWB \
  | 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: 4d9381bd26ff42f8567a9d71880488b07fcb0916812ff320f41430c05d5821e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "851ae2b5e9fabfaf1fcd1a64fac4bec19a97109b2c329b765f7fa1b524ee6b5e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-11T19:23:12Z",
    "title_canon_sha256": "51416f399a607cfbbbdb0f038e3d5f344fae23440be4c9c9425b033ba2b5a51f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10449",
    "kind": "arxiv",
    "version": 1
  }
}