Pith Number

pith:DDJ7VSWI

pith:2010:DDJ7VSWIWDB6X5YOYF2EI6L2O4

not attested not anchored not stored refs pending

Tiling by rectangles and alternating current

M. Prasolov, M. Skopenkov

arxiv:1002.1356 v2 · 2010-02-06 · math.CO · 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{DDJ7VSWIWDB6X5YOYF2EI6L2O4}

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	2026-05-18T01:12:23.126952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18d3facac8b0c3ebf70ec17444797a772f163ad79ec1ea69f7b210b2342689e4

Aliases

arxiv: 1002.1356 · arxiv_version: 1002.1356v2 · doi: 10.48550/arxiv.1002.1356 · pith_short_12: DDJ7VSWIWDB6 · pith_short_16: DDJ7VSWIWDB6X5YO · pith_short_8: DDJ7VSWI

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/DDJ7VSWIWDB6X5YOYF2EI6L2O4 \
  | 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: 18d3facac8b0c3ebf70ec17444797a772f163ad79ec1ea69f7b210b2342689e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "780385c001ac516c82962cd6fb0c0af127273316054815a67f4cd3cfa173d3c9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-06T11:13:34Z",
    "title_canon_sha256": "2c1c36f882f7976384ec1ef3d877ef4ba92d0674c85d72658afad764e5612fb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1356",
    "kind": "arxiv",
    "version": 2
  }
}