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Pith Number

pith:3ENCN4SH

pith:2017:3ENCN4SHFAWROW3VIGMAER6QXO
not attested not anchored not stored refs pending

Arithmetic, geometry and dynamics in the unit tangent bundle of the modular orbifold

Alberto Verjovsky

arxiv:1711.03593 v1 · 2017-11-09 · math.DS · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3ENCN4SHFAWROW3VIGMAER6QXO}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T00:30:51.971382Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d91a26f247282d175b7541980247d0bb8e1cb8e5629fc5a50986a9aea4e848ce

Aliases

arxiv: 1711.03593 · arxiv_version: 1711.03593v1 · doi: 10.48550/arxiv.1711.03593 · pith_short_12: 3ENCN4SHFAWR · pith_short_16: 3ENCN4SHFAWROW3V · pith_short_8: 3ENCN4SH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3ENCN4SHFAWROW3VIGMAER6QXO \
  | 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: d91a26f247282d175b7541980247d0bb8e1cb8e5629fc5a50986a9aea4e848ce
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a33e2ea28ae6fc433de01aa7850b66f12f5a2764e36afa8f832573e07819a21c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-09T20:40:38Z",
    "title_canon_sha256": "2bcd1095acb9dfd2f8a8f59fb6fb7caa4408b9fd689c9013b4e76ef3a55f6166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03593",
    "kind": "arxiv",
    "version": 1
  }
}