Pith Number

pith:QRL46CBP

pith:2019:QRL46CBPDHHXLWVVXR73OHIIZ4

not attested not anchored not stored refs pending

Centrally symmetric tilings of fern-cored hexagons

Mihai Ciucu

arxiv:1906.02951 v1 · 2019-06-07 · math.CO · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRL46CBPDHHXLWVVXR73OHIIZ4}

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	2026-05-17T23:43:55.603135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8457cf082f19cf75dab5bc7fb71d08cf00c56b6a682d2cdd2475fead90cdf18b

Aliases

arxiv: 1906.02951 · arxiv_version: 1906.02951v1 · doi: 10.48550/arxiv.1906.02951 · pith_short_12: QRL46CBPDHHX · pith_short_16: QRL46CBPDHHXLWVV · pith_short_8: QRL46CBP

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/QRL46CBPDHHXLWVVXR73OHIIZ4 \
  | 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: 8457cf082f19cf75dab5bc7fb71d08cf00c56b6a682d2cdd2475fead90cdf18b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b147e9df920cfe1e7f0af941b0ec7e0f83dcff6b7e94591f5508e8e12797197",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-07T08:30:59Z",
    "title_canon_sha256": "0c3f110b3d66a4b8410d9a0ef055b9174f74edffafc55e201ce03b03666b3d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02951",
    "kind": "arxiv",
    "version": 1
  }
}