pith. sign in
Pith Number

pith:XMYWVZ7C

pith:2009:XMYWVZ7C2N3K762IQPBLXY3GVL
not attested not anchored not stored refs pending

Composition law of cardinal order permutations

A. Gonzalez Gomez, Jesus San Martin, Ma. Jose Moscoso

arxiv:0908.0065 v1 · 2009-08-01 · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XMYWVZ7C2N3K762IQPBLXY3GVL}

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 2026-05-18T02:12:45.507998Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bb316ae7e2d376affb4883c2bbe366aad91f1b57b49bd637f1fbfde06d4b7ffd

Aliases

arxiv: 0908.0065 · arxiv_version: 0908.0065v1 · doi: 10.48550/arxiv.0908.0065 · pith_short_12: XMYWVZ7C2N3K · pith_short_16: XMYWVZ7C2N3K762I · pith_short_8: XMYWVZ7C
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XMYWVZ7C2N3K762IQPBLXY3GVL \
  | 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: bb316ae7e2d376affb4883c2bbe366aad91f1b57b49bd637f1fbfde06d4b7ffd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "da3254a90817e61e6f2c4e385ec7090caa2ca6fe7b76581e7b9ebb44e20a2196",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2009-08-01T10:38:42Z",
    "title_canon_sha256": "0382ebbd2ccbf1b2f603c978e8067e9af32fdeeda86c084c47f1c724e9720911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0065",
    "kind": "arxiv",
    "version": 1
  }
}