pith. sign in
Pith Number

pith:3PXM6BKC

pith:2016:3PXM6BKCFMWUWZGXQSAZT55KY7
not attested not anchored not stored refs pending

On unimodular transformations of conservative L-systems

Eduard Tsekanovskii, Konstantin Makarov, Sergey Belyi

arxiv:1608.08583 v1 · 2016-08-30 · math.SP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3PXM6BKCFMWUWZGXQSAZT55KY7}

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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 2026-05-18T01:07:17.718411Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dbeecf05422b2d4b64d7848199f7aac7de1be898d5706521d2c4b49ee34da0e6

Aliases

arxiv: 1608.08583 · arxiv_version: 1608.08583v1 · doi: 10.48550/arxiv.1608.08583 · pith_short_12: 3PXM6BKCFMWU · pith_short_16: 3PXM6BKCFMWUWZGX · pith_short_8: 3PXM6BKC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3PXM6BKCFMWUWZGXQSAZT55KY7 \
  | 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: dbeecf05422b2d4b64d7848199f7aac7de1be898d5706521d2c4b49ee34da0e6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "45a556b14df015fa9003410b6a57d6b64cfb1bd891e69f3a162243d1b7cfaa72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-08-30T18:05:28Z",
    "title_canon_sha256": "bd2d5ce4fc92055b87c0339f8212099ab0cbb7d2590782affd6e290069906d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08583",
    "kind": "arxiv",
    "version": 1
  }
}