Pith Number

pith:AAOGJN4Z

pith:2014:AAOGJN4ZSD2LZLN2URUCUCXOYF

not attested not anchored not stored refs pending

Types of perfect matchings in toroidal square grids

Marcos Kiwi, Martin Loebl

arxiv:1406.3317 v3 · 2014-06-12 · math-ph · math.CO · 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{AAOGJN4ZSD2LZLN2URUCUCXOYF}

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	2026-05-18T01:07:58.614533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

001c64b79990f4bcadbaa4682a0aeec15809af649937160b27ce3eb4c9fed22a

Aliases

arxiv: 1406.3317 · arxiv_version: 1406.3317v3 · doi: 10.48550/arxiv.1406.3317 · pith_short_12: AAOGJN4ZSD2L · pith_short_16: AAOGJN4ZSD2LZLN2 · pith_short_8: AAOGJN4Z

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/AAOGJN4ZSD2LZLN2URUCUCXOYF \
  | 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: 001c64b79990f4bcadbaa4682a0aeec15809af649937160b27ce3eb4c9fed22a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa2559294f955b09247249fea0029eb47f75bd2c22a0a83b38fd6c6b8e45ec5e",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-12T18:53:15Z",
    "title_canon_sha256": "1a965c461e9924b7d04bfce5734df06af8049995aef8571189203792f8512856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3317",
    "kind": "arxiv",
    "version": 3
  }
}