Pith Number

pith:MBWMZPWT

pith:2011:MBWMZPWTI3NB7MFJWOY74SXRIM

not attested not anchored not stored refs pending

Half-turn symmetric FPLs with rare couplings and tilings of hexagons

INRIA Bordeaux - Sud-Ouest), Jean-Christophe Aval (LaBRI), Philippe Duchon (LaBRI

arxiv:1109.0366 v1 · 2011-09-02 · 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{MBWMZPWTI3NB7MFJWOY74SXRIM}

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	2026-05-18T02:54:21.868132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

606cccbed346da1fb0a9b3b1fe4af1432a8bb126c8f63c18cbff8d3435d6fcd7

Aliases

arxiv: 1109.0366 · arxiv_version: 1109.0366v1 · doi: 10.48550/arxiv.1109.0366 · pith_short_12: MBWMZPWTI3NB · pith_short_16: MBWMZPWTI3NB7MFJ · pith_short_8: MBWMZPWT

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/MBWMZPWTI3NB7MFJWOY74SXRIM \
  | 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: 606cccbed346da1fb0a9b3b1fe4af1432a8bb126c8f63c18cbff8d3435d6fcd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd4e886b18178a2cbe2c2492509580e07d64e730bea8dd25ae538047dcfeb71c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-02T06:55:12Z",
    "title_canon_sha256": "bc85624b75fcdbe3da41af99816e08a8571a959371811180210493bff88ed732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0366",
    "kind": "arxiv",
    "version": 1
  }
}