pith. sign in
Pith Number

pith:O73G6GRX

pith:2016:O73G6GRX3SE2V4HEJEAWC7RZRT
not attested not anchored not stored refs pending

Central invariants revisited

Guido Carlet, Reinier Kramer, Sergey Shadrin

arxiv:1611.09134 v2 · 2016-11-28 · math.DG · math-ph · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{O73G6GRX3SE2V4HEJEAWC7RZRT}

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 2026-05-18T00:02:45.878026Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

77f66f1a37dc89aaf0e44901617e398cff3e47f9b9388a1efda56439d95043ca

Aliases

arxiv: 1611.09134 · arxiv_version: 1611.09134v2 · doi: 10.48550/arxiv.1611.09134 · pith_short_12: O73G6GRX3SE2 · pith_short_16: O73G6GRX3SE2V4HE · pith_short_8: O73G6GRX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/O73G6GRX3SE2V4HEJEAWC7RZRT \
  | 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: 77f66f1a37dc89aaf0e44901617e398cff3e47f9b9388a1efda56439d95043ca
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9954dc779c1fb35f3f85fd4f3d43175cb789414fec33d79a147e7dcf5c47cc90",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-28T14:21:44Z",
    "title_canon_sha256": "3f879d2c046aa84838729fe0d6ff958be7abf0f321602a6096caa01afb573fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09134",
    "kind": "arxiv",
    "version": 2
  }
}