Pith Number

pith:4VVLGWSP

pith:2014:4VVLGWSPLUE7MV3F3LFZ5SSBCB

not attested not anchored not stored refs pending

Quasi-periodic tiling with multiplicity: a lattice enumeration approach

Swee Hong Chan

arxiv:1405.6928 v2 · 2014-05-27 · math.MG · 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{4VVLGWSPLUE7MV3F3LFZ5SSBCB}

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	2026-05-18T01:22:10.653873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e56ab35a4f5d09f65765dacb9eca411071b04fd67ccdb70a7c769375e3736f3f

Aliases

arxiv: 1405.6928 · arxiv_version: 1405.6928v2 · doi: 10.48550/arxiv.1405.6928 · pith_short_12: 4VVLGWSPLUE7 · pith_short_16: 4VVLGWSPLUE7MV3F · pith_short_8: 4VVLGWSP

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/4VVLGWSPLUE7MV3F3LFZ5SSBCB \
  | 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: e56ab35a4f5d09f65765dacb9eca411071b04fd67ccdb70a7c769375e3736f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2b978a33363f8c614e79ca20cfb9c54d7e22adefc914ae744f6cdc9cba0809",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-05-27T14:28:59Z",
    "title_canon_sha256": "c38c41d63bbd539f1bbcf578820a663c3b47e1bd0df9b423bbcecb1e4e18d40a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6928",
    "kind": "arxiv",
    "version": 2
  }
}