Pith Number

pith:MPVLFZZD

pith:2019:MPVLFZZDW3DJOM56TVNX4MWHRF

not attested not anchored not stored refs pending

A Shuffling Theorem for Centrally Symmetric Tilings

Tri Lai

arxiv:1906.03759 v2 · 2019-06-10 · 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{MPVLFZZDW3DJOM56TVNX4MWHRF}

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	2026-05-17T23:41:21.624401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63eab2e723b6c69733be9d5b7e32c78957c44046c9aaea8046f9d9db2f2186fb

Aliases

arxiv: 1906.03759 · arxiv_version: 1906.03759v2 · doi: 10.48550/arxiv.1906.03759 · pith_short_12: MPVLFZZDW3DJ · pith_short_16: MPVLFZZDW3DJOM56 · pith_short_8: MPVLFZZD

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/MPVLFZZDW3DJOM56TVNX4MWHRF \
  | 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: 63eab2e723b6c69733be9d5b7e32c78957c44046c9aaea8046f9d9db2f2186fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8087c5596018edb19cb8d73e17c513c0d05299c3a4089199a33744ba96016401",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-10T01:38:02Z",
    "title_canon_sha256": "550f67be4acb338a5bde2a185d28e444a389e51938e0723033e5c08cd88e5d6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03759",
    "kind": "arxiv",
    "version": 2
  }
}